Question

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A rectangle is inscribed in a circle.
Calculate the area of the circle. Use 3.14 for π. Round to the nearest hundredth.

1___ Square centimeters

2 Calculate the area of the rectangle.

3. Calculate the area of the shaded region. Use 3.14 for π. Round to the nearest hundredth.

Answer 1

See below in bold.

Explanation:

1. The area of the circle = 3.14 * radius^2.

The radius = 1/2 * 13 = 6.5 cm so the area is

3.14 * 6.5^2 = 132.67 cm^2 to the nearest hundredth.

2. Area of the rectangle = width * length = 5*12 = 60 cm^2.

3. Area of the shaded region = area of the circle - area of the rectangle

= 132.67 - 69 = 72.67 cm^2 to the nearest hundredth.

Answer 2

1. 60 cm^2

2. 132.67 cm^2

3. 72.67 cm^2

Explanation:

1. Area of rectangle

A = LW = 5 cm * 12 cm = 60 cm^2

2. Area of circle

A = (pi)r^2 = 3.14(6.5 cm)^2 = 132.67 cm^2

3. Area of shaded region

A = area of circle - area of rectangle

A = 132.7 cm^2 - 60 cm^2 = 72.67 cm^2