Question

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The diameter of the larger circle is 20.4 cm. The diameter of the smaller circle is 10.8 cm.

What is the best approximation for the area of the shaded region?

Use 3.14 to approximate pi.

A. 72.3 cm²

B. 235.1 cm²

C. 289.4 cm²

D. 326.7 cm²

Answer 1

Answer: the answer is B. 235.1

Step-by-step explanation:

For the large circle the

Area = pi. • r • r

In other words,

Area = 3.14 • 10.2 • 10.2

Which equals 326.7

Then for the small circle the

Area = 3.14 • 5.4 • 5.4

Which equals 91.6

Then to find the shaded area,

326.7 - 91.6 =

235.1 cm squared

Hope this helps! :)

Answer 2

areashaded=areabigcircle-areasmallcircle


areacircle=pir^2
d/2=r

big diameter=20.4, so radius i 20.4/2=10.2cm

small is 10.8/2=5.4


so
big-small
pi10.2^2-pi5.4^2
pi(104.04-29.16)
pi(74.88)
using 3.14=pi
235.1232 cm^2


answer is B