Question

In a circle of radius 10.5 cm,the minor arc is one-fifth of the major arc .Find the area of the sector corresponding to the major arc.

please don't post irrelevent answers.​

Answer 1

Answer:

Radius of circle =10.5 cm

Let x cm be the major arc, then

5

x

cm be the length of minor arc.

Circumference of circle = x+

5

x

=

5

6x

We know, Circumference of circle = 2πr=2×

7

22

×10.5

This implies,

5

6x

=2×

7

22

×10.5

x=55 cm

Area of major sector =

2πr

length of arc

×πr

2

=

2

1

×55×10.5=288.75

The area of major sector is 288.75 cm

2

.