Question

In the following figure, the shaded area is
(a)50 (π−2) cm²
(b)25 (π−2) cm²
(c)25 (π+2) cm²
(d)5 (π−2) cm² "l​

Answer 1

Answer:

The Shaded area is 25(π - 2) cm².

Among the given options option (b) 25(π - 2) cm²  is the correct answer.

Step-by-step explanation:

Given :

Radius of a circle,r = 10 cm  

Angle at the centre of a circle, θ = 90°

Shaded area = Area of the segment ,A = {πθ/360 - sin θ /2 cos θ/2 }r²

A = {90°π/360° - sin 90°/2 cos 90°/2 }× 10²

A = {π/4  - sin 45°cos 45°} × 100

A = {π/4  - 1/√2 × 1/√2} × 100

A = {π/4  - 1/2 } × 100

A = {(π/4 - 1× 2)/4}100

A = {(π - 2)/4}100

A = 100/4(π - 2)  

A = 25(π - 2) cm²

Area of the segment,  = 25(π - 2) cm²

Hence, the Shaded area is 25(π - 2) cm².

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

hi step by step solution is here in pic

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