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(a) Area of semicircle OPQR = 1/2 * 3.14* 20² cm²   = 628 cm²

Area of sector OPQ = Area of semicircle OPQR – shaded area = 628 – 420 cm² = 208 cm²

Area of figure OPQRS = Area of semicircle OPQR + Area of sector ORS

=Area of semicircle OPQR + Area of sector OPQ

= 628  + 208 cm²

= 836 cm²

(b) Perimeter of semicircle OPQR = 3.14 * 20 cm = 62.8 cm

The length of arc RQ = 78 – 40 cm = 38 cm = length of arc RS

So Perimeter of OPQRS = PO + OS + Perimeter of semicircle OPQR + arc RS 

=40 + 62.8 + (62.8 – 38) cm = 127.6 cm

 

 

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