Question

the perimeter of a semicircular plate is 108cm.find it's area.​

Answer 1

Answer:

hope it helps you dear

Step-by-step explanation:

The perimeter = (pi)r + 2r where r is the radius. Here

r[(22/7) + 2] = 108, or

r = 108/[(22/7) + 2] = 21

So the area of the semicircle is (pi)*(21^2)/2 = 693 sq cm.

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Answer 2

The area of the semicircular plate is 1386 cm².

Step-by-step explanation:

Given : The perimeter of a semicircular plate is 108 cm.

To find : It's area. ?

Solution :

The perimeter of the semi circle is $P=\pi r+2r$.

The perimeter of a semicircular plate is 108 cm.

i.e. $\pi r+2r=108$

$r(\pi+2)=108$

$r=\frac{108}{\frac{22}{7}+2}$

$r=\frac{108\times 7}{36}$

$r=21$

The area of the circle is $A=\pi r^2$

$A=\frac{22}{7}\times 21^2$

$A=1386\ cm^2$

Therefore, the area of the semicircular plate is 1386 cm².

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Area of semicircle and perimeter of semicircle​

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