Basic Geometry : How to find the area of a circle

Study concepts, example questions & explanations for Basic Geometry

varsity tutors app store varsity tutors android store

Example Questions

Example Question #71 : Plane Geometry

Find the area of the circle with the given diameter.

4

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a circle.

Now, since we have the diameter, recall the relationship between the radius and the diameter.

Substitute in the value of the diameter to find the value of the radius.

Simplify.

Substitute in the value of the radius to find the area.

Solve.

Example Question #72 : Plane Geometry

Find the area of the circle with the given diameter.

5

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a circle.

Now, since we have the diameter, recall the relationship between the radius and the diameter.

Substitute in the value of the diameter to find the value of the radius.

Simplify.

Substitute in the value of the radius to find the area.

Solve.

Example Question #73 : Plane Geometry

Find the area of the circle with the given diameter.

6

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a circle.

Now, since we have the diameter, recall the relationship between the radius and the diameter.

Substitute in the value of the diameter to find the value of the radius.

Simplify.

Substitute in the value of the radius to find the area.

Solve.

Example Question #74 : Plane Geometry

Find the area of the circle with the given diameter.

7

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a circle.

Now, since we have the diameter, recall the relationship between the radius and the diameter.

Substitute in the value of the diameter to find the value of the radius.

Simplify.

Substitute in the value of the radius to find the area.

Solve.

Example Question #75 : Plane Geometry

Find the area of the circle with the given diameter.

8

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a circle.

Now, since we have the diameter, recall the relationship between the radius and the diameter.

Substitute in the value of the diameter to find the value of the radius.

Simplify.

Substitute in the value of the radius to find the area.

Solve.

Example Question #76 : Plane Geometry

Find the area of the circle with the given diameter.

9

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a circle.

Now, since we have the diameter, recall the relationship between the radius and the diameter.

Substitute in the value of the diameter to find the value of the radius.

Simplify.

Substitute in the value of the radius to find the area.

Solve.

Example Question #77 : Plane Geometry

Find the area of the circle with the given diameter.

10

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a circle.

Now, since we have the diameter, recall the relationship between the radius and the diameter.

Substitute in the value of the diameter to find the value of the radius.

Simplify.

Substitute in the value of the radius to find the area.

Solve.

Example Question #78 : Plane Geometry

Find the area of the circle with the given diameter.

11

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a circle.

Now, since we have the diameter, recall the relationship between the radius and the diameter.

Substitute in the value of the diameter to find the value of the radius.

Simplify.

Substitute in the value of the radius to find the area.

Solve.

Example Question #79 : Plane Geometry

Find the area of the circle with the given diameter.

12

Possible Answers:

Correct answer:

Explanation:

Recall how to find the area of a circle.

Now, since we have the diameter, recall the relationship between the radius and the diameter.

Substitute in the value of the diameter to find the value of the radius.

Simplify.

Substitute in the value of the radius to find the area.

Solve.

Example Question #71 : Plane Geometry

A circle is inscribed in a square that has side lengths of . Find the area of the circle.

Possible Answers:

Correct answer:

Explanation:

13

Notice that when a circle is inscribed in a square, the length of the side of the square is the same as the diameter of a circle.

Recall how to find the area of a circle:

Now, recall the relationship between the radius and the diameter.

Use the given information to find the radius.

Simplify.

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

Solve.

Learning Tools by Varsity Tutors