The difference between circumference and radius of a circle is 111 cm. The area of the circle is (a) 1366 cm2 (b) 1386 cm2 le) 1376 cm2 (d) 1396 cm2 is
Answers
Answer:
(b) 1386cm2 Le that's my answer
Area of the circle is 1386 cm² if The difference between circumference and radius of a circle is 111 cm
Given:
- Difference between circumference and radius of a circle is 111 cm
To Find:
- Area of the circle
Solution:
Concept/formulas to be used:
Circumference of circle = 2π (Radius)
Area of a circle = π (Radius)²
π = 22/7
Step 1:
Assume that Radius of circle is R cm and find circumference of the circle
Circumference = 2πR
Step 2:
Subtract Radius from circumference and equate with 111 cm
2πR - R = 111
Step 3:
Use π = 22/7 and solve for R.
2(22/7)R - R = 111
=> 44R - 7R = 777
=> 37R = 777
=> R = 21 cm
Step 4:
Use formula for area of a circle and substitute R = 21 cm and π = 22/7 and solve for Area (A)
A = πR²
A= (22/7) x 21²
=> A = 22 x 21 x 3
=> A = 1386 cm²
Correct option is (b) 1386 cm²
Area of the circle is 1386 cm² if The difference between circumference and radius of a circle is 111 cm
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