Question

2. The area of the minor segment is 150 cm ^ 2 and the area of its corresponding major segment is 250 cm ^ ² What is the area of the circle so formed due to these segments? 3.​

Answer 1

Answer:

Given the radius of a circle is 14 cm and a minor segment of the central angle is also 60° .

We know that area of segment =πr² ( c/360 )

(where c is the central angle of segment and r is a radius of the circle)

Then area of minor segment = 22/7×(14)²×60/360 = 22×2×14/6 =102.67cm²

We know that the total area of circle =πr² 22/7 (14)²

=22×2×14=616cm²

Then area of major arc =616−102.67=513.33cm²