ICSE Class 10 Answered

Let π = 22/7

Lenth of arc AB = (1/4) × ( 2 π r ) = 11 cm

(1/4) × ( 2 × (22/7) × r ) = 11

From above expression, we get r = 7 cm

Area of quarter circle = (1/4) × π r² = (1/4) × (22/7) × 7 × 7 = 38.5 sq.cm

Area of triangle OPB = (1/2) × 4 × 7 sq.cm = 14 sq. cm

Shaded area = ( area of quarter circle) - ( area of triangle OPB)

Shaded area = ( 38.5 - 14 ) sq.cm = 24.5 sq.cm