Question

The perimeter of a semicircular garden is 108 cm. Find the diameter of the garden

Answer 1

$\boxed{ \bold{ \huge{answer}}}$



Let radius of the garden ▶ r

Given, perimeter ▶ 108

=> Diameter of the garden + semi-circumference of the garden = 108

So,

=> 2r + πr = 108

=> r(2 + π) = 108

=> r(2 + 22/7) = 108

=> r(14 + 22)/7 = 108

=> 36r/7 = 108

=> r/7 = 108/36

=> r/7 = 3

=> r = 3×7

=> r = 21

So,

diameter of the garden = 2r = 2×21 = 42 cm


Thanks ✌☺


# NAVI ❤ HARYANVI ♠

Answer 2

Answer:

Step-by-step explanation:

Let r be the radius:

Given, Perimeter of the semicircular garden= 108 cm

To find the diameter of the garden, we know that,

Diameter of garden + semi-circumference of garden=108 cm

2r +πr = 108

Taking out common:

r(2+π)= 108

r(2+22/7)= 108

Solving it further we get:

36r/7=108

r/7=108/36

r/7=3

r= 3×7

r= 21 cm

The radius is 21 cm and we know that Diameter = 2r

So, 2*21= 42 cm

THE DIAMETER OF THE SEMI- CIRCULAR GARDEN IS 42 CM.