Question

If the radius of an arc of a circle is 14 cm, find the area of the corresponding quadrant.​

Answer 1

Answer:

We have,

Radius of circle=14cm.

Length of arc=22cm.

Using formula,

Angle=

arc

radius

Now,

Angle=

14

22

Angle=

2×7

22

Angle=

2

π

(π=

7

22

)

Angle=θ=

2

π

So,

Area of sector =

360

o

θ

×πr

2

=

360

o

90

o

×

7

22

×14×14

=

4

1

×22×2×14

=22×7

=154sq.cm.

Hence, this is the answer.