Question

mensuration lesson 10th class practice set 7.4
in the figure 7.45, if A is the centre of the circle. PQR=30°, AP=7.5,find the area of the segment PQR (π=3.14)​

Answer 1

Answer:

0.65625cm2.

Step-by-step explanation:

Given radius AP , r = 7.5

Central angle PAR = = 30˚

Area of segment PQR = r2[(/360) – (sin/2)]

= 7.52[3.14×(30/360)- sin30˚/2]  

= 56.25[3.14×(1/12)- 1/4]  

= 56.25[(3.14/12)- (3/12)]  

= 56.25×0.14/12  

= 0.65625cm2  

Hence area of segment PQR is 0.65625cm2.