An a circle of radius 21 cm, an arc subtend an angle of 60° at the centre. Find the length of an arc.
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at changes take place in its area?
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Given,
A circle of radius 21 cm with a subtends arc of an angle 60° at the centre.
To Find,
The length of the arc.
Solution,
Radius of the circle = 21 cm
Measure the angle formed = 60°
We know that,
Length of the arc = θ/360° x 2πr
Taking π as 22/7 and substituting the values,
= \dfrac{60}{360}\times2\times\dfrac{22}{7}\times213606
0×2×722×21
It can be simplified as →
\dfrac{1}{6}\times2\times\dfrac{22}{7}\times2161×2×722×21
= 22 cm.
Therefore the length of the arc is 22 cm.
Formulas used:
→ Formula for length of an arc.
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