The circumference of a circle is equal to the perimeter of a square whose side…
2021
The circumference of a circle is equal to the perimeter of a square whose side is 88 cm. What will be the area of the circle?
- A.
9524 cm²
- B.
7186 cm²
- C.
9856 cm²
- D.
12824 cm²
Attempted by 15 students.
Show answer & explanation
Correct answer: C
Step-by-step Solution
Given:
Side of the square = 88 cm
Circumference of the circle = Perimeter of the square
Step 1: Find the perimeter of the square
Perimeter = 4 × side
= 4 × 88
= 352 cm
Therefore, the circumference of the circle = 352 cm.
Step 2: Find the radius of the circle
Circumference = 2πr
352 = 2 × (22/7) × r
352 = (44/7)r
r = 352 × 7 / 44
r = 8 × 7
r = 56 cm
Step 3: Find the area of the circle
Area = πr²
= (22/7) × 56 × 56
= (22/7) × 3136
= 22 × 448
= 9856 cm²
Correct Answer
✅ Option 3: 9856 cm²