Lesson 7: Area of a Circle and a Sector Answers

Smaller circle C is inside larger circle C. The smaller circle is labeled the garden. The radius of the smaller circle is 8 feet. The distance from the rim of the inner circle to the rim of the outer circle is 3 feet.

The area of circle Z is 64 ft2.

The measure of central angle YCZ is 80 degrees.

Circles C and D overlap. The distance from point C to point D is 7 centimeters.

The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram.

In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula .

Circle S is shown. Line segment R T is a diameter. The length of S T is 4. Sector R S T is shaded.

Circle G is shown. Line segment F G is a radius with length 3.

Which statements are true regarding the area of circle D? Select two options.

Circle X and Y are connected at one side. Larger circle C surrounds both circles. Line segment W Z is the diameter of circle C. The line segment goes through all points of the other circles. The length of W X is 8 and the length of Y Z is 10.