# Basic Geometry : Plane Geometry

## Example Questions

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

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

Explanation:

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.

### Example Question #81 : Radius

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

Explanation:

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.

### Example Question #81 : Plane Geometry

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

Explanation:

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.

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

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

Explanation:

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.

### Example Question #81 : Circles

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

Explanation:

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.

### Example Question #86 : How To Find The Area Of A Circle

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

Explanation:

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.

### Example Question #81 : Basic Geometry

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

Explanation:

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.

### Example Question #88 : How To Find The Area Of A Circle

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

Explanation:

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.

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

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

Explanation:

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.

### Example Question #84 : Basic Geometry

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

Explanation:

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.