Question

find perimeter and area of semicircle dimeter is :- (i) 5.6 cm​

Answer 1

Answer:

24.64 cm²

Step-by-step explanation:

area of semicircle = πr²/2

= πd²/4 (r=d/2)

area of given semicircle =π(5.6)²/4

=(22/7)(1.4)(5.6)

=24.64 cm²

Answer 2

Answer:

14.4 cm and 12.32 cm²

Step-by-step explanation:

As per the provided information in the given question, we have:

• Diameter of the semicircle is 5.6 cm.

We've been asked to calculate the perimeter and area of semicircle.

Let us firstly calculate the perimeter of semicircle.

$\odot$ Perimeter of semicircle is sum of the half of circumference of circle and twice of the radius.

$\longrightarrow\quad\sf{Perimeter\: of\: semicircle=\pi r+ 2r}$

We know that radius of semicircle is equal to half of the diameter of semicircle. So,

$\longrightarrow\quad\sf{Perimeter\: of\: semicircle=\pi \dfrac{d}{2}+2\dfrac{d}{2}}$

We are given that the diameter of semicircle is 5.6 cm. Equating this value.$\\\longrightarrow\quad\sf{Perimeter\: of\: semicircle=\dfrac{22}{7}\times \dfrac{5.6}{2}+2\times \dfrac{5.6}{2}}$

Taking 5.6/2 as common.$\\\longrightarrow\quad\sf{Perimeter\: of\: semicircle=\dfrac{5.6}{2}\left(\dfrac{22}{7}+2\right)}$

Performing addition. $\\\longrightarrow\quad\sf{Perimeter\: of\: semicircle=\dfrac{5.6}{2}\left(\dfrac{36}{7}\right)}$

Performing division. $\\\longrightarrow\quad\sf{Perimeter\: of\: semicircle=2.8\times 5.14}$

Performing multiplication. $\\\longrightarrow\quad\bold{Perimeter\: of\: semicircle=14.4\: cm}$

We've calculated the perimeter of semicircle that is 14.4 cm.

Now, let us calculate the area of semicircle.

$\odot$ Area of semicircle is half of the area of the circle.

$\longrightarrow\quad\sf{Area\: of\: semicircle=\dfrac{\pi {r}^{2}}{2}}$

Equating value of r as d/2.

$\longrightarrow\quad\sf{Area\: of\: semicircle=\dfrac{\pi\times {\left(\dfrac{5.6}{2}\right)}^{2}}{2}}$

Performing division.

$\longrightarrow\quad\sf{Area\: of\: semicircle=\dfrac{\dfrac{22}{7}\times {(2.8)}^{2}}{2}}$

After, further simplifying.

$\longrightarrow\quad\sf{Area\: of\: semicircle=\dfrac{\dfrac{22}{7}\times 7.84}{2}}$

Performing multiplication.

$\longrightarrow\quad\sf{Area\: of\: semicircle=\dfrac{24.64}{2}}$

Performing division.

$\longrightarrow\quad\bold{Area\: of\: semicircle=12.32\: {cm}^{2}}$

❝ Therefore, the perimeter of semicircle is 14.4 cm and area of semicircle is 12.32 cm². ❞