Question

find the radius of a semicircle if its perimeter is 24cm

Answer 1

Perimeter of a semicircle=22/7×r

24=22/7×r

r=24×7/22

r=7.64

Answer 2

Answer:

The radius of semicircle is 4.67 cm

Step-by-step explanation:

Since we know,

Perimeter of semicircle in terms of diameter is given as 1/2 π × d + d

We also know,

Diameter = 2 * radius

d = 2r

Substituting the value of d in our formula, we get

$\frac{1}{2} \pi$ * 2r + 2r

$\pi r$ + 2r

So,

Perimeter of semicircle in terms of radius is $\pi r$ + 2r

Given,

perimeter = 24 cm

24 = $\pi r$ + 2r

24 = r ( $\pi$ + 2 )

Taking value of $\pi$ = $\frac{22}{7}$

24 = r ( $\frac{22}{7}$ + 2 )

24 = r ( $\frac{22 +14}{7}$ )

24 = r ( $\frac{36}{7}$ )

r = 24 * $\frac{7}{36}$

r = 4.67 cm

Hence,

The radius of semicircle is 4.67 cm