Math, asked by Sidharthsingh, 1 year ago

find the area of a circle whose circumference is same as the perimeter of a square of side 88 CM

Answers

Answered by InFocus
1
side of a square =22 CM
perimeter of square= 88 CM
circumference of circle= perimeter of square
2πr=88cm
2×22/7×r=88cm
44/7×r=88cm
r=88×7/44
r=14cm
area of circle=π×r×r
22/7×14×14=44×4
176cm square
Answered by harisreeps
2

Answer:

The area of a circle whose circumference is the same as the perimeter of a square of side 88cm is 9847cm^{2}

Step-by-step explanation:

  • A square is a polygon with four equal sides
  • The perimeter of a square whose side length is (a) is given by the formula

       P=4a

  • The circumference of a circle is 2\pi r and the area of the circle is \pi r^{2}, where (r) is the radius of the circle

From the question, it is given that

the side length of the square is a=88cm

⇒ the perimeter of the square is P=4*88=352cm

the circumference of the circle is the same as the perimeter of the square

4a=2\pi r

352=2\pi r\\r=352/2\pi =56.05cm

now the area of the circle \pi *56^{2} =9847cm^{2}

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