Question

The circumference of a circle exceeds the diameter by 16.8cm. Find the circumference of the circle

Answer 1

Answer:

24.64 cm

Step-by-step explanation:

circumference = 2πr

it exceeds diameter by 16.8 cm

2πr = d + 16.8

$2\pi r = d + 16.8 \\2\pi r = 2r + 16.8 \: \: (d = 2r) \\ 2\pi r = 2(r + 8.4) \\ \pi r = r + 8.4 \\ \frac{22}{7} \times r = r + 8.4 \\22 r = 7r + 58.8 \\ 22r - 7r = 58.8 \\ 15r = 58.8 \\ r = \frac{58.8}{15} = 3.92 \\ circumference \: = 2\pi r = 2 \times \frac{22}{7} \times 3.92 = 24.64$

Answer 2

Step-by-step explanation:

Let the radius of the circle be r cm. Then. Diameter = 2r cm and Circumference = 2πr cm