Katy:
A circle with radii 12 mm is divided into 20 sectors of equal area. Which is the area of one sector to the nearest tenth? 1.9 square mm 3.8 square mm 22.6 square mm 90.5 square mm
TheSmartOne:
Can you find the area of the complete circle first? Do you know the formula for finding the area of a circle?
Katy:
12 is radius. 12^2=144 144 times 3.14 is
Katy:
452.16
TheSmartOne:
What is it? Do you have a calculator? But yes, you're in the right direction. Now sectors. What are they? You can basically imagine that you're dividing your circle pie into half. Then you'd have two sectors of equal area. In this question, we have 20 sectors of equal area. That means we basically cut our life into twenty pieces. So you just found the area of the whole circle. To find the area of one sector, you just divide it by 20
Katy:
Is it 452.16 divided by 20?
TheSmartOne:
Yes
Katy:
22.608
Katy:
?
TheSmartOne:
Bingo
Katy:
22.6 square mm?
TheSmartOne:
Spot on, good job!
Katy:
Thank you
TheSmartOne:
My pleasure!
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