Question

the area of a semicircle with a diameter equal to 5 cm

Answer 1

Answer:

Elections to the Rajya Sabha are indirect; members representing States are elected by elected members of legislative assemblies of the States in accordance with the system of proportional representation by means of the single transferable vote, and those representing Union Territories are chosen in such manner as Parliament may by law prescribe. The Rajya Sabha is not subject to dissolution; one-third of its members retire every second year.

Rajya Sabha, at present, has 245 seats. Of these, 233 members represent the States and the Union Territories, and 12 members are nominated by the President.

Answer 2

Before, finding the answer. Let's find out on how we can find the answer.

• In the Question, Diameter is mentioned. So, we have to first find the Radius of the Semicircle.
• To do that, we must divide the diameter by 2.
• Now to find the Area of Semicircle, we must use the formula of :

$\boxed{\sf Area \: of \: Semicircle = \frac{1}{2} ( \pi r^2 )}$

π = $\dfrac{22}{7}$

• Here, we have to multiply all the values given in the formula.

___________________________

Given :

• Diameter = 5 cm

To find :

• area of the semicircle

Solution :

Diameter = Radius × 2

Radius = Diameter/2

           = 5/2

           = 2.5 cm

We know that,

$\sf Area \: of \: Semicircle = \dfrac{1}{2} ( \pi r^2 )$

                           $\sf = \dfrac{1}{2} \times ( \pi \times r^2 )$  

                           $\sf = \dfrac{1}{2} \times ( \dfrac{22}{7} \times 2.5^2 )$

                           $\sf = \dfrac{1}{2} \times ( \dfrac{22}{7} \times 6.25 )$

                           $\sf = \dfrac{1}{2} \times ( \dfrac{137.5}{7} )$

                           $\sf = \dfrac{1}{2} \times 19.64$

                           $\sf = 9.82 cm^2$

∴ Area of the Semicircle is 9.82 cm².