The circumference of a circle exceeds its diameter by 30 cm. The area (in cm2) of the circle is:
(Take π = \(\frac{{22}}{7}\))
1. 300
2. 216
3. 154
4. 145
The circumference of a circle exceeds its diameter by 30 cm. The area (in cm2) of the circle is:
(Take π = \(\frac{{22}}{7}\))
1. 300
2. 216
3. 154
4. 145
1. 300
2. 216
3. 154
4. 145
Correct Answer – Option 3 : 154
Given:
The circumference of a circle exceeds its diameter by 30 cm.
Concept used:
Circumference and area of circle
Calculation:
As per the question,
⇒ 2 π r – 2 r = 30
⇒ 2r(π – 1) = 30
⇒ \(2r\left( {\frac{{22}}{7} – 1} \right) = 30\)
⇒ 2r = 14
⇒ r = 7 cm
Area of circle = π r2
Area = \(\frac{{22}}{7} \times 7 \times 7 = 154\) cm2