Math, asked by shiraz29, 4 months ago

perimeter of a semicircle​

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Answered by Anonymous
0

Answer:

The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.

Step-by-step explanation:


shiraz29: wrong answer
Answered by jamesgooserton
0

Answer:

(i) Perimeter = 28π

(ii) Area = 49π

Step-by-step explanation:

Perimeter of circle is 2 * π * r

Outer Perimeter of a semi-circle is π * radius. (not including the straight cut)

Big circle radius is 14, little circle radius is 7. (half diameter)

Perimeter of shaded area is half of perimeter of big circle and two times half perimeter of little circle

π * 14 + 2*( π * 7) = 28π

Area of a circle is π*r² (r is the radius)

Area of shaded region is area of half-circle minus area of two little half circles

so area of shaded region is [π * (14)² /2] - [π * (7)² / 2] - [π * (7)² / 2] = 49π


shiraz29: wrong answer
jamesgooserton: No it's correct. I just double checked it. The perimeter of the shaded region is 28π cm and the area is 49π cm²
shiraz29: but in my book perimeter is 88cm and area is 154cm
shiraz29: what should I do?
shiraz29: OK I understand ,you have written 28 pi
shiraz29: thanks
jamesgooserton: No problem, glad to help. Good luck!
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