Question

10
The circumference of a semicircle
with a radius of 7/22 cm is -
(1 Point)
O 0.5 cm
O 1 cm
O 1.5 cm
O 3.14 cm
​

Answer 1

Step-by-step explanation:

Given :-

radius of semicircle =

$\frac{7}{22}$

To find :-

circumference of semicircle

We know that,

Circumference of semicircle = $\pi r$

[tex]\frac{ \not22}{ \not7} \times \frac{ \not7}{ \not22} [/tex]

$\implies \: \boxed{1 \: cm}$

Hence option b is correct one.

Answer 2

Provided that:

• A semicircle is given
• Radius of semicircle = 7/22 cm

To calculate:

• The circumference

Solution:

• The circumference = 1 cm

Using concept:

• Circumference of semicircle formula

Using formula:

• Circumference(semi-circle) = ½ × 2πr

Required solution:

$:\Rightarrow \sf Circumference \: _{semi-circle} \: = \dfrac{1}{2} \times 2 \pi r \\ \\ :\Rightarrow \sf Circumference \: _{semi-circle} \: = \dfrac{1}{\cancel{{2}}} \times \cancel{2} \times \dfrac{22}{7} \times \dfrac{7}{22} \\ \\ :\Rightarrow \sf Circumference \: _{semi-circle} \: = 1 \times \dfrac{22}{7} \times \dfrac{7}{22} \\ \\ :\Rightarrow \sf Circumference \: _{semi-circle} \: = 1 \times \cancel{\dfrac{22}{7}} \times \cancel{\dfrac{7}{22}} \\ \\ :\Rightarrow \sf Circumference \: _{semi-circle} \: = 1 \times 1 \times 1 \\ \\ :\Rightarrow \sf Circumference \: _{semi-circle} \: = 1 \: cm$

__________________________

Dear web users, you can see step(s) of cancelling from the attachment(s) Thanks for understanding!