Question

find the area of the major segment if the degree measure of the minor arc being 90 and radius of the circle is 14cm​

Answer 1

Explanation:

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 =πr

2

(

360

c

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

Then area of minor segment =

7

22

×(14)

2

×

360

60

=

6

22×2×14

=102.67cm

2

We know that the total area of circle =πr

2

=

7

22

(14)

2

=22×2×14=616cm

2

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

2