The area of the quadrant of a circle whose circumference is 22 cm, will be :
Answer & explanation
Correct answer: option 4
Circumference of a circle = 2πR
The circumference of a circle = 22 (Given)
2πR = 22
2 × \(\frac{22}{7}\) × r = 22
r = \(\frac{7}{2}\)
We know that,
Area of a quadrant =\(\frac{1}{4}\) πr2
= \(\frac{1}{4}\) × \(\frac{22}{7}\) × \(\frac{7}{2}\) × \(\frac{7}{2}\)
= \(\frac{77}{8}\) = 9.625 cm2