Answer:
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Step-by-step explanation:
Answer:
The shaded area is 314.2 cm²
Step-by-step explanation:
Here we have the diameter, d₁ of the smaller semicircles as 10 cm
We note that the larger semicircle is subtended (bounded) by the two smaller semicircles;
1 shaded small semicircle and the other is blank
Therefore, the diameter, d₂ of the large semicircle = 10 + 10 = 20 cm
Also the area of the shaded figure consists of the removal of one small semicircle and the addition of the other semicircle to the area of the larger semicircle such that the area of the shaded figure is as follows
Shaded area of figure = π·d₂²/4 + π·d₁²/4 - π·d₁²/4 = π·d₂²/4 = π×20²/4 = 100×3.142 = 314.2 cm²
Shaded area = 314.2 cm².
Sometimes you have to simplify fractions after doing arithmetic with them. Cross-cancellation is a simplification that can be done before. simplifying before means when you do multiply, you'll have smaller numbers, and smaller numbers are easier to work with.
