Question

6. If the circumference of a circle exceeds its diameter by 30 cm, find the radius of the circle. the length of the diameter of a circle whose circumference is 44 cm.​

Answer 1

Answer:

the radius of the circle is 7 cm

Step-by-step explanation:

Let the radius of the circle be r cm. Then, its circumference = (2πr) cm Now, (circumference) – (diameter) = 30 cm … [given] ∴ (2πr – 2r) = 30 By taking 2r common we get, = 2r (π – 1) = 30 = 2r × ((22/7) – 1) = 30 = 2r × ((22 – 7)/7) = 30 = 2r × (15/7) = 30 = (30/7) r = 30 = r = (30) × (7/30) = r = 7 cm Hence, the radius of the circle is 7 cm.

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