Question

20. In the given figure, find the area of the shaded region, where
OA = OB = OC = OD = 14 cm.
C​

Answer 1

Answer: 462 cm²

Step-by-step explanation:

We have a big shaded circle where a small unshaded circle has been drawn

We know OA = OB = OC = OD = 14 cm .

So area of the big circle = $\pi r^2$  (Here we have r = 14 cm)

=> $\frac{22}{7}$ * 14 * 14    

=> 616 cm²

Note that to get the area of the small circle , notice that the diameter of the circle is OB , which is 14 cm .

So the radius of that circle is 14 ÷ 2 = 7 cm .

Hence area of the small circle = $\pi r^2$

=> $\frac{22}{7}$ * 7 * 7

=> 154 cm²

So area of the shaded region = (Area of big circle) - (Area of small circle)

=> (616 - 154) cm² = 462 cm²

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