the circular portions of the following figure are semicircles forcrach of the following figures.
please tell me the answer faster
Answers
Answer:
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Step-by-step explanation:
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Answer:
(i) Area = 353.429 m²
(ii) Perimeter = 77.12 m
Step-by-step explanation:
We know that,
Width of the track is 30 m and total length is 42 m.
Now,
We are told that, those two are semicircles, which has a width or diameter of 30m
Thus, its Radius = D/2 = 30/2 = 15 m
(Now to understand it better I have posted an image, please do refer it.)
Now,
(i) Area of Semicircle = (πr²)/2
= (3.14 × 15 × 15)/2
= (706.858)/2
= 353.429 m²
(ii)
Here we must be careful because, they have asked us the total perimeter of the semicircle,
We know that,
Perimeter of the semicircle = arc(AEC) + AC
We know that,
Arc AEC is a semicircle so its perimeter = (2πr)/2
= πr
= 3.14 × 15
= 47.12 m
AC = 30 m (Diameter)
Thus,
Perimeter of the semicircle = 30 + 47.12 = 77.12 m
Hope it helped and you understood it........All the best