.Find the length of arc of a circle whose radius is 10 cm and θ= 70°
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The formula for the length of an arc of a circle is:
l = θ / 360° (2πr)
Where:
θ is the angle subtended at the centre.
2πr is the circumference of the circle.
the circumference:
2πr = (2) . (3.14) . (10)
= 20 × (314/100)
= 314 ÷ 5
= 62.8 cm
So, length of arc
l = θ / 360° . (2πr)
l = 30 / 360° . (62.8)
l = 62.8 / 12
l ≈ 5.23 cm
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