Question

in the figure 2 given below area triangle ABC is equal to 35 cm square find the area of the shaded region

Answer 1

Answer:

(i) 231 cm²  (ii) 42 cm²

Step-by-step explanation:

Question (i)

Area of the whole semicircle:

Area = 1/2 πr²

Area = 1/2 π(14)² = 308 cm²

Area of the unshaded semicircle:

Area = Area = 1/2 πr²

Area = 1/2 π(14 ÷ 2)² = 77 cm²

Find the area of the shaded semicircle:

Area = 308 - 77 = 231 cm²

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Question (ii)

Find the length of the base of the triangle:

Area of triangle = 1/2 x base x height

35 = 1/2 x base x 5

35  5/2 x base

base = 35 ÷ 5/2

base = 14 cm

Find the area of the semicircle:

Area of the circle =1/2 πr²

Area of the circle =1/2 π(14 ÷ 2)² = 77 cm²

Find area of the shaded region:

Area of the shaded region = 77 - 35 = 42 cm²

Answer: (i) 231 cm²  (ii) 42 cm²

Answer 2

Answer:

Step-by-step explanation:

Area of triangle =1/2*base*height

35*2/5= base

14 cm = base

Base= diameter of semi circle=14 cm

Radius of semi circle=14/2 =7cm

Area of semi circle=1/2* pie *radius Square=1/2*22/7*7*7

=77cm Square

Area of shaded region = area of semi circle - area of triangle

=77-35=42 cm Square

Ans =42 cm Square