- Have any questions?
- [email protected]
- Home
- A rectangle and a circle have same area.
Question 1:
A rectangle and a circle have same area. There is a difference of 12 cm in the length and breadth of the rectangle and its perimeter is 200 cm.Find the radius of the circle.
A. 14πcm
B. 22cm
C. 25cm
D. 28cm
Feedback Length = L and breadth = B
Perimeter = 200 = 2(Length + Breadth)
∴ 200 = 2(L + L - 12)
∴ L = 56cm
∴ B = L - 12 = 44cm
Area of rectangle = L x B = 56 x 44 = Area of circle
∴ 56 x 4 = πr^2 = 22/7 r^2
∴ r^2 = (56 x 44 x 7)/22 = 784
∴ r = 28cm
Perimeter = 200 = 2(Length + Breadth)
∴ 200 = 2(L + L - 12)
∴ L = 56cm
∴ B = L - 12 = 44cm
Area of rectangle = L x B = 56 x 44 = Area of circle
∴ 56 x 4 = πr^2 = 22/7 r^2
∴ r^2 = (56 x 44 x 7)/22 = 784
∴ r = 28cm
These questions are from this test. Would you like to take a practice test?