Question

A

Answer 1

❦ Question -:

The diameter of a semicircle is 6 yards. Find the perimeter of the semicircle?

❦ Explanation -:

Given :

• Diameter of the semicircle

Need to find :

• Perimeter

Solution :

$\small \blue {\underline {\underline{{ \orange{\rm{ First \: we \: need \: to \: calculate \: the \: radius \: of \: the \: semicircle }}}}}}$

We know,

$\large \star \: \: \large \underline{\boxed{ \rm{ Radius = \dfrac{Diameter}{2}}}}$

$\small\rm{ Radius = \dfrac{6}{2} = 3 \: yards}$

$\small{ \underline{ \underline{\rm \red{ Now \: we \: will \: calculate \: the \: perimeter \: of \: the \: semicircle }}}}$

We know,

$\large\star \: \: \large \underline{\boxed{ \rm{ Perimeter_{(semicircle)} = πr + 2r}}}$

Where,

• r stand for radius
• Assuming π as 3.14

Substituting the values we get

$\small\bf{ Perimeter_{(semicircle)} = 3.14 × 3 + (2 × 3)}$

$\small\rm{ Perimeter_{(semicircle)} = 9.42 \: + 6}$

$\small\boxed{ \rm{ Perimeter_{(semicircle)} = 15.42 \: yards}}$

$\rule{92mm}{3pt}$

Answer 2

Given -

• the diameter of a semicircle is 6 yards.

ie. d = 6yd

ps - use 3.14 for a

To find -

• the semicircle's perimeter

Solution -

As we know the formula to find the perimeter of the semicircle is 2r + πr.

But A.T.Q we are only provided with the diameter. As we know that the radius is half of the diameter. ie, r = d/2.

Hence, d = 6

r = 6/2

r = 3 yd

Perimeter of semicircle = 2r + πr

Perimeter of semicircle = 2(3) + 3.14(3)

Perimeter of semicircle = 15.42 yd

Hence forth the semicircle's perimeter is 15.42 yd