Calculate the area of the shaded region, if the diameter of the semi circle is equal to 14 cm.

0 votes
1 view
asked Mar 18 in Class X Maths by muskan15 (-2,499 points)

Calculate the area of the shaded region, if the diameter of the semi circle is equal to 14 cm. (Take π = 22/7)

Please log in or register to answer this question.

1 Answer

0 votes
answered Mar 18 by priya12 (-11,407 points)

AC = DE = 14cm (given)

⇒ AB = BC = 7 cm (given)

Area of the shaded region = Area of rectangle ACDE + Area of semicircle DEF – 2 × Area of quadrant

∴   Area of rectangle = Length × Breadth

Area of semicircle = 1/2π(r2)

2 × Area of quadrant  =  π/4(r2)

∴   Area of shaded region = 14 × 7 + π/2(7)2 – 2 × π/4 (7)2

= 98 + 49π/2 - 49π/2

= 98 cm2

Related questions

...