Math, asked by RehanAhmadXLX, 1 year ago

In a circle of radius 21 cm, an are subtends angle of 60° at the centre. Find the length of the arc.

Question Number. 6

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Answers

Answered by rohitkumargupta
9
HELLO DEAR,

given that:-
radius of Circle = 21cm

and

∅ = 60°

length of arc of a sector of ∅

=> ∅/360 × 2πr

=> 60/360 × 2 × 22/7 × 21

=> 1/6 × 2 × 22 × 3

=> 1/6 × 6 × 22

=> 22cm


I HOPE ITS HELP YOU DEAR,
THANKS

rohitkumargupta: :-)
RehanAhmadXLX: :-)
Answered by TheKnowledge
6
Hey mate !!!


radius is given => 21 cm


angle => 60°


now , area of sector => theta/ 360 ° *πr²



=> 60°/ 360° *22/7 *21 *21


so the area of sector we get

11 * 21 cm ²


=> 231cm².


now

we use this formula

area of sector => 1/2 * length of arc * radius


231 cm ² = 1/2 *21 length of arc



hence the length of arc comes out to be => 22 cm .



hope it helps :D

thanks


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