The shape is made using three semicircles. The smaller semicircles have a diameter of 10cm. Calculate the shaded area, Take pie to be 3.142 and write down all the digits given by your calculator

Area of the shaded part = 157.1 cm²

Step-by-step explanation:

The attached image contains the complete question and the figure of concern.

The whole diagram contains a large semicircle and a small semicircle at the lower end of the figure.

The shaded area is a large semicircle minus an unshaded small semicircle plus another shaded small semicircle.

Noting that the area of semicircle is given as

A = (πr²/2)

Radius of small semicircle = r = (diameter/2) = (10/2) = 5 cm

Radius of large semicircle = R = 10 cm

Area of shaded area = (Area of large semicircle) - (Area of unshaded small semicircle) + (Area of the shaded small semicircle)

Area of shaded Area = (πR²/2) - (πr²/2) + (πr²/2) = (πR²/2)

= (π×10²/2)

= (3.142 × 10²/2)

= 157.1 cm²

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