Basic Geometry : Right Triangles

Study concepts, example questions & explanations for Basic Geometry

varsity tutors app store varsity tutors android store

Example Questions

Example Question #475 : Triangles

The diameter of the circle is , find the area of the shaded region.

4

Possible Answers:

Correct answer:

Explanation:

13

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

Example Question #476 : Triangles

The diameter of the circle is , what is the area of the shaded region?

5

Possible Answers:

Correct answer:

Explanation:

13

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

Example Question #477 : Triangles

The diameter of the circle is , what is the area of the shaded region?

6

Possible Answers:

Correct answer:

Explanation:

13

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

 

Example Question #478 : Triangles

The diameter of the circle is , what is the area of the shaded region?

7

Possible Answers:

Correct answer:

Explanation:

13

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

 

Example Question #281 : Right Triangles

The diameter of the circle is , what is the area of the shaded region?

8

Possible Answers:

Correct answer:

Explanation:

13

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

 

Example Question #81 : How To Find The Area Of A Right Triangle

The diameter of the circle is , what is the area of the shaded region?

9

Possible Answers:

Correct answer:

Explanation:

13

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

 

Example Question #81 : How To Find The Area Of A Right Triangle

The diameter of the circle is , find the area of the shaded region.

10

Possible Answers:

Correct answer:

Explanation:

13

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

 

Example Question #82 : How To Find The Area Of A Right Triangle

The diameter of the circle is , find the area of the shaded region.

11

Possible Answers:

Correct answer:

Explanation:

13

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

 

Example Question #84 : How To Find The Area Of A Right Triangle

The diameter of the circle is , find the area of the shaded region.

12

Possible Answers:

Correct answer:

Explanation:

13

To find the area of the shaded region, we will first need to find the area of the right triangle and the area of the circle.

Recall how to find the area of a circle:

Now, recall how to find the length of the radius from the length of the diameter.

Substitute in the given diameter to find the radius.

Now, substitute in the radius to find the area of the circle.

Next, recall how to find the area of a right triangle.

Substitute in the given base and height to find the area.

We can now find the area of the shaded region:

Solve and round to two decimal places.

 

Example Question #81 : How To Find The Area Of A Right Triangle

A triangle has a height of 5 inches and a base of 10 inches. What is the area of this triangle?

Possible Answers:

None of these.

Correct answer:

Explanation:

The area of a right triangle can be found by .

Learning Tools by Varsity Tutors