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An Arc of Length 20𝜋 Cm Subtends an Angle of 144° at Centre of Circle. Find the Radius of the Circle. - Mathematics

An arc of length 20𝜋 cm subtends an angle of 144° at centre of circle. Find the radius of the circle.

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Solution

Length of arc = 20𝜋cm

Let radius = ‘r’ cm

O = angle subtended at centre = 144°

Length of arc =`theta/360^@`× 2𝜋𝑟

=`144/360× 2pir =(4pi)/5r`

=`(4pi)/5r = 20pi`

`r =(20pi×5)/(4pi)`= 25 cms

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 13 Areas Related to Circles
Exercise 13.2 | Q 3 | Page 24
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