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Pre-Algebra : Area

Study concepts, example questions & explanations for Pre-Algebra

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11 Diagnostic Tests 177 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #21 : Area Of A Circle

Units = cm

Diameter is 30, find the area of the circle.

Possible Answers:

$\small 12.5cm{2}$

$\small 392cm^{2}$

$\small 706$

$\small \small 706.5cm^{2}$

Correct answer:

$\small \small 706.5cm^{2}$

Explanation:

To find the area of a circle we use the equation:

$A=\small \pi(r)^{2}$ .

In this question we are told that the diameter of the circle, meaning the radius is half of this.

To solve for the area, we just plug it into our equation:

$r=\frac{1}{2}d\rightarrow r=\frac{1}{2}30=15$

$\\A=\small \small \small \small \small \small \pi(15)^{2}\\A = 15\times15\times \pi \\A= 225\pi \\A= 225\times 3.14 \\A= 706.5cm$ .

And because we are working with the area of a shape, our answer must have units that are squared, therefore: $\small \small \small \small 706.5cm^{2}$ .

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Example Question #22 : Area Of A Circle

Units = cm

Radius is five, find the area of the circle.

Possible Answers:

$\small 78.5cm^{2}$

$\small 74cm^{2}$

$\small 238.5cm^{2}$

$\small 58.5cm^{3}$

Correct answer:

$\small 78.5cm^{2}$

Explanation:

To find the area of a circle we use the equation:

$A=\small \pi(r)^{2}$ .

In this question we are told that the radius of the circle is five. To solve for the area, we just plug it into our equation:

$\\ A=\small \small \small \pi(5)^{2} \\ A= 5\times5 \times \pi \\A= 25\pi \\A= 25 \times 3.14 \\A= 78.5cm$ .

And because we are working with the area of a shape, our answer must have units that are squared, therefore: $\small 78.5cm^{2}$ .

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Example Question #23 : Area Of A Circle

Units = cm

Radius is $\small 6.5$ , find the area of the circle.

Possible Answers:

$\small 142.25cm^{2}$

$132.665cm^{2}$

$\small 12.665cm^{2}$

$\small 100cm^{2}$

Correct answer:

$132.665cm^{2}$

Explanation:

To find the area of a circle we use the equation:

$A=\small \pi(r)^{2}$ .

In this question we are told that the radius of the circle is 6.5.

To solve for the area, we just plug it into our equation:

$\\A=\small \small \small \small \pi(6.5)^{2} \\A= 6.5\times6.5 \times \pi \\A= 42.45\pi \\A= 42.25 \times 3.14\\A = 132.665cm$ .

And because we are working with the area of a shape, our answer must have units that are squared, therefore: $\small \small 132.665cm^{2}$ .

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Example Question #24 : Area Of A Circle

Units = cm

Radius is four, find the area of the circle.

Possible Answers:

$\small 40.24cm^{2}$

$10.24cm^{2}$

$\small 50.24cm^{2}$

$\small 45cm^{2}$

Correct answer:

$\small 50.24cm^{2}$

Explanation:

To find the area of a circle we use the equation:

$A=\small \pi(r)^{2}$ .

In this question we are told that the radius of the circle is four. To solve for the area, we just plug it into our equation:

$\\A=\small \small \small \small \small \pi(4)^{2}\\A = 4\times4 \times \pi \\A=16\pi \\A= 16 \times 3.14 \\A= 50.24cm$ .

And because we are working with the area of a shape, our answer must have units that are squared, therefore: $\small \small \small 50.24cm^{2}$ .

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Example Question #25 : Area Of A Circle

Units = cm

Radius is two, find the area of the circle.

Possible Answers:

$\small 11cm^{2}$

$\small 15cm^{2}$

$\small 2.56cm^{2}$

$\small 12.56cm^{2}$

Correct answer:

$\small 12.56cm^{2}$

Explanation:

To find the area of a circle we use the equation:

$A=\small \pi(r)^{2}$ .

In this question we are told that the radius of the circle is two.

To solve for the area, we just plug it into our equation:

$\\ A=\small \small \small \small \small \small \pi(2)^{2} \\A= 2\times2\times \pi \\A=4\pi \\A=4 \times 3.14 \\A= 12.56cm$ .

And because we are working with the area of a shape, our answer must have units that are squared, therefore: $\small \small \small \small 12.56cm^{2}$ .

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Example Question #26 : Area Of A Circle

Units = cm

Radius is ten, find the area of the circle.

Possible Answers:

$\small 31.4cm^{2}$

$\small .314cm^{2}$

$\small 314cm^{2}$

$\small 31400cm^{2}$

Correct answer:

$\small 314cm^{2}$

Explanation:

To find the area of a circle we use the equation:

$A=\small \pi(r)^{2}$ .

In this question we are told that the radius of the circle is ten.

To solve for the area, we just plug it into our equation:

$\\A=\small \small \small \small \small \small \small \pi(10)^{2} \\A= 10\times10\times \pi \\A=100\pi \\A=4 \times 3.14 \\A= 314cm$ .

And because we are working with the area of a shape, our answer must have units that are squared, therefore: $\small \small \small \small \small 314cm^{2}$ .

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Example Question #27 : Area Of A Circle

Units = cm

Diameter is 16, find the area of the circle.

Possible Answers:

$\small 32.6cm^{2}$

$\small 200.96cm^{2}$

$\small 20.96cm^{2}$

$\small 56cm^{2}$

Correct answer:

$\small 200.96cm^{2}$

Explanation:

To find the area of a circle we use the equation:

$A=\small \pi(r)^{2}$ .

In this question we are told that the diameter of the circle, meaning the radius is half of this. To solve for the area, we just plug it into our equation:

$r=\frac{1}{2}d\rightarrow r=\frac{1}{2}16=8$

$\\A=\small \small \small \small \pi(8)^{2} = 8\times8\times \pi \\A= 64\pi \\A= 64 \times 3.14 \\A= 200.96cm$ .

And because we are working with the area of a shape, our answer must have units that are squared, therefore: $\small \small200.96cm^{2}$ .

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Example Question #31 : Area Of A Circle

Units = cm

Diameter is 24, find the area of the circle.

Possible Answers:

$\small 452.16cm^{2}$

$\small 132.16cm^{2}$

$\small 300cm^{2}$

$\small 459cm^{2}$

Correct answer:

$\small 452.16cm^{2}$

Explanation:

To find the area of a circle we use the equation:

$A=\small \pi(r)^{2}$ .

In this question we are told that the diameter of the circle, meaning the radius is half of this.

To solve for the area, we just plug it into our equation:

$r=\frac{1}{2}d\rightarrow r=\frac{1}{2}24=12$

$\\A=\small \small \small \small \small \pi(12)^{2} \\A= 12\times12\times \pi \\A= 144\pi \\A= 144 \times 3.14 \\A= 452.16cm$ .

And because we are working with the area of a shape, our answer must have units that are squared, therefore: $\small \small \small 452.16cm^{2}$ .

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Example Question #32 : Area Of A Circle

Units = cm

Diameter is 25, find the area of the circle.

Possible Answers:

$\small 102.5cm^{2}$

$\small 28.5cm^{2}$

$\small 98.5cm^{2}$

$490.625cm^{2}$

Correct answer:

$490.625cm^{2}$

Explanation:

To find the area of a circle we use the equation:

$A=\small \pi(r)^{2}$ .

In this question we are told that the diameter of the circle, meaning the radius is half of this.

To solve for the area, we just plug it into our equation:

$r=\frac{1}{2}d\rightarrow r=\frac{1}{2}25=12.5$

$\\A=\small \small \small \small \small \small \small \pi(12.5)^{2} \\A= 12.5\times12.5\times \pi \\A= 156.25\pi \\A= 156.25\times 3.14 \\A= 490.625cm$ .

And because we are working with the area of a shape, our answer must have units that are squared, therefore: $490.625cm^{2}$ .

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Example Question #33 : Area Of A Circle

Units = cm

Diameter is 12, find the area of the circle.

Possible Answers:

$\small 113.04cm^{2}$

$\small 100.04cm^{2}$

$\small 129.04cm^{2}$

$\small 13cm^{2}$

Correct answer:

$\small 113.04cm^{2}$

Explanation:

To find the area of a circle we use the equation:

$A=\small \pi(r)^{2}$ .

In this question we are told that the diameter of the circle, meaning the radius is half of this.

To solve for the area, we just plug it into our equation:

$r=\frac{1}{2}d\rightarrow r=\frac{1}{2}12=6$

$\\A=\small \small \small \small \small \small \small \small \pi(6)^{2} \\A= 6\times6\times \pi \\A= 36\pi \\A= 36\times 3.14\\A=113.04cm$ .

And because we are working with the area of a shape, our answer must have units that are squared, therefore: $\small \small \small \small \small \small 113.04cm^{2}$ .

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Pre-Algebra : Area

Study concepts, example questions & explanations for Pre-Algebra

All Pre-Algebra Resources

Example Questions

Example Question #21 : Area Of A Circle

Example Question #22 : Area Of A Circle

Example Question #23 : Area Of A Circle

Example Question #24 : Area Of A Circle

Example Question #25 : Area Of A Circle

Example Question #26 : Area Of A Circle

Example Question #27 : Area Of A Circle

Example Question #31 : Area Of A Circle

Example Question #32 : Area Of A Circle

Example Question #33 : Area Of A Circle

All Pre-Algebra Resources

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