Math, asked by BrainlyHelper, 1 year ago

What is the length (in terms of π) of the arc that subtends an angle of 36° at the centre of a circle of radius 5 cm?

Answers

Answered by nikitasingh79
14

Answer:

The length of Arc is π cm .

Step-by-step explanation:

Given :  

Angle subtended by an Arc , θ = 36°

Radius of circle, r = 5 cm

Length of Arc, l = (θ/360) × 2πr

l = (36°/360°) × 2 × π × 5

l = (1/10) × 10π

l = 10π/10

l = π cm

Length of Arc, l = π cm

Hence, the length of Arc is π cm .

HOPE THIS ANSWER WILL HELP YOU….

Answered by pratik40
4
hi...

here \: is \: your \: answer...

r = 5cm

Angle subtended= 36°

length of arc = ?

Length of arc =

Angle subtended / 360 × 2πr

 = \frac{36}{360} \times 2\pi(5)

 = \frac{1}{10} \times 10\pi

 = \pi \: cm

thus \: the \: length \: of \: ar c \: is \\ \: \pi \: cm.

hope \: this \: helps...
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