A large circular dinner plate has a radius of 20 centimeters. A smaller circular plate with a circumference of centimeters is placed in the center of the larger dinner plate. What is the area of the part of the larger dinner plate that is not covered by the smaller plate?
- A
sq cm
- B
sq cm
- C
sq cm .
- D
sq cm
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Correct answer: D
The radius of the large plate is 20 cm. Use that to find the area of the large plate:
The circumference of the smaller plate is 20π cm. Use that to find the radius, and then the area, of the smaller plate:
Subtract the area of the small plate from the area of the large plate:
400π − 100π = 300π sq cm