the circumference of a circle exceeds its dieameter by 30cm. Find the circumference of a circle.
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the circumference of a circle exceeds its dieameter by 30cm. Find the circumference of a circle.
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Let the radius of the circle be = r cm
Circumference of the circle = 2πr
Given that Circumference = Diameter + 30 cm
Diameter = 2r
2πr = 2r + 30
2πr – 2r = 30
By taking 2r common we get
2r (π – 1) = 30
2r × (22/7 – 1) = 30
2r × (22 – 7) = 30
7
2r × (15/7) = 30
2r × 15 = 30 × 7
r = 30 × 7
2 × 15
r = 7 cm
Circumference of the circle = 2πr
= 2 × 22 × 7
7
= 2 × 22
= 44 cms