Question

Degree of measure of a circle subtend at the circle is​

Answer 1

Step-by-step explanation:

Given that:-

Length of arc (l)=15cm

Radius of circle (r)=25cm

Angle subtended at the centre (θ)=?

As we know that,

l=rθ

⇒θ=

r

l

=

25

15

=

5

3

=0.6 radians

As we know that,

1 radian=

π

180

°

∴0.6 radian=

π

180

×0.6=

22

180×7

×0.6=34.36°=34°36

′

Hence the radian and degree measure of the angle subtended at the centre of circle is 0.6 radians and 34°36

′

respectively.

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