Question

the sum of the circumference and diameter is 116cm.Find its radius

Answer 1

Hey there!

2πr + 2r = 116
2r (π + 1) = 116
2r (4.14) = 116
2r = 116 / 4.14
2r = 28.0193

r = 14 cm (approx.)

Answer 2

Let the radius be r.
diameter=2r
circumference=2πr

ATQ,
diameter+circumference=116cm

$2r + 2\pi \: r = 126 \\ r + \pi \: r = 63 \\ r(1 + \frac{22}{7} ) = 63 \\ r = \frac{63}{ \frac{29}{7 } } \\ r = 15.2cm$

Hope you understood.
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