Question

f the length of an Arc is 44 cm and the angle subtended by it at the centre of the circle is 315 ⁰ ,then find the radius of the circle ?

Answer 1

Answer:

Explanation:

The formula for the length of an arc of a circle is:

l

=

θ

360

o

(

2

π

r

)

Where:

θ

is the angle subtended at the centre.

2

π

r

is the circumference of the circle.

the circumference

2

π

r

=

(

2

)

⋅

(

3.14

)

⋅

(

10

)

=

62.8

c

m

So, length of arc

l

=

θ

360

o

⋅

(

2

π

r

)

l

=

30

360

o

⋅

(

62.8

)

l

=

62.8

12

l

≈

5.23

c

m