Question

A cricle arc is length 3 pie cm. and radius is 20cm. find angle subtended by it at the center in radian and degree

plz help me... ​

Answer 1

Answer:

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.

Step-by-step explanation:

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Answer 2

Answer:

hey here is your solution

pls mark it as brainliest

Step-by-step explanation:

$so \: here \: for \: a \: certain \: circle \: \\ length \: of \: an \: arc(l) = 3\pi.cm \\ radius(r) = 20 \: cm$

$so \: thus \: using \: \\ length \: of \: an \: arc = theta \div 360 \times 2\pi \: r \\ ie \: 3\pi = theta \div 360 \times 2\pi \times 20 \\ ie \: 3 = theta \div 360 \times 2 \times 20 \\ so \: thus \: then \: \\ 3 = theta \div 360 \times 40 \\ = 1 \times theta \div 9 \\ ie \: theta = 3 \times 9 = 27 \: degrees$

$so \: to \: convert \: 27 \: degrees \: into \: radian \: \\ multiplying \: throughout \: by \: \pi \div 180 \\ ie \: 27 \times \pi \div 180 \\ = 3\pi \div 20$