the length of an arc of a circle, subtending an angle of 54° at the centre is 16.5 cm. Calculate the radius, circumference and area of the circle.
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Given that
if Angle subtended at center is 54° , then length of the ARC = 16.5 cm
so if Angle subtended at center is 1° , then length of the ARC = (16.5/54)cm
so if Angle substended at center is 360° ( full circle) ,
then length of ARC that is circumfrence = (16.5/54) × 360°
= 110 cm
So Circumference of circle = 110 cm
circumference = 2πr
⇒ 110 = 2πr
⇒ 110 = 2 × (22/7) × r
⇒ r = (110 × 7)/(2 × 22) = 17.5 cm
so Radius = 17.5 cm
Area of circle = πr² = 22/7 × 17.5 × 17.5 = 962.5 cm²
Hence radius = 17.5 cm , circumference = 110 cm and area = 962.5 cm²
haqueaisha32:
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Answer:- Radius of circle is 17.5 cm.
Circumference of the circle is 110 cm.
Area of the circle is 962.5 square cm.
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