The area of a square is 100 cm². The circumference (in cm) of the largest circle cut of it is
(a) 5 π
(b) 10 π
(c) 15 π
(d) 20 π
Solution:
Given, area of square is 100 cm²
We have to find the circumference of the largest circle cut out of the square.
Area of square = (side)²
side² = 100
Taking square root,
side = 10 cm
The diameter of the circle will be equal to the side of the square.
Diameter of circle = 10 cm
Radius = 10/2 = 5cm
Circumference of circle = 2πr
Where, r is the radius of circle
= 2π(5)
= 10π cm
Therefore, the circumference of the circle is 10π cm.
✦ Try This: The area of a square is 36 cm². The circumference (in cm) of the largest circle cut of it is
Given, area of square is 36 cm²
We have to find the circumference of the largest circle cut out of the square.
Area of square = (side)²
side² = 36
Taking square root,
side = 6 cm
The diameter of the circle will be equal to the side of the square.
Diameter of circle = 6 cm
Radius = 6/2 = 3 cm
Circumference of circle = 2πr
Where, r is the radius of circle
= 2π(3)
= 6π cm
Therefore, the circumference of the circle is 6π cm.
☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 11
NCERT Exemplar Class 7 Maths Chapter 9 Problem 35
The area of a square is 100 cm². The circumference (in cm) of the largest circle cut of it is (a) 5 π, (b) 10 π, (c) 15 π, (d) 20 π
Summary:
The area of a square is 100 cm². The circumference (in cm) of the largest circle cut of it is 10π cm.
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