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PLS PLS PLS HELP!!!! -25 POINTS-

PLS PLS PLS HELP!!!! -25 POINTS--example-1

2 Answers

1 vote

Answer:

I guess you have to calculate the gray area

A = pi*3²-(pi*1²+pi*1²)

A = 9ft-2ft=7ft(cm²) exact value approximately 21.98cm² if ft=3.14

Explanation:

User James Brightman
by
8.1k points
2 votes

Answer:

The shaded area is exactly 7π cm², or approximately 22.0 cm² (rounded to the nearest tenth).

Explanation:

The given diagram shows circle B (with a radius of 3 cm), with two smaller circles O and C (both with a radius of 1 cm) removed.

Therefore, to find the area of the shaded region, subtract the areas of the smaller circles O and C from the area of the larger circle B.

The formula for the area of a circle is A = πr², where r is the radius of the circle. Therefore:


\begin{aligned}\sf Shaded\;Area&=\sf Area_(Circle\;B)-Area_(Circle\;O)-Area_(Circle\;C)\\\\&=\pi (3)^2-\pi (1)^2-\pi (1)^2\\\\&=9\pi - \pi - \pi\\\\&=7\pi\\\\&=21.991148...\\\\&=22.0\; \sf cm^2\;(nearest\;tenth)\end{aligned}

Therefore, the shaded area is exactly 7π cm², or approximately 22.0 cm² (rounded to the nearest tenth).

User James Tikalsky
by
7.8k points

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