6.9k views
2 votes
A circle with radius of 2 cm sits inside a 7 cm x 11 cm rectangle. What is the area of the shaded region? Round your final answer to the nearest hundredth.

User Ibramazin
by
7.5k points

1 Answer

4 votes
Multistep problem alert! Step 1: the area of the circle with radius 2cm is pi x r^2. So, 3.14159x2^2 = 3.14159x4 = 12.5663 sq cm; Step 2: the area of the rectangle is lw (length times width), or 11x7=77 sq cm; Step 3: find the difference of 77 and 12.5663 by subtracting. (64.4337sq cm is the area of the rectangle not covered by the circle); Step 4: round 64.4337 to the nearest hundredth=64.43 sq cm. So, the area of the shaded region, which I assume is the rectangle area not covered by the circle is 64.43 sq cm. Peace!
User Luqui
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.