The circumference of a circle exceeds its diameter by 30 cm. The area

1.	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. 3002. 2163. 1544. 145
Answer» 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

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. 3002. 2163. 1544. 145

Answer» 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

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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. 3002. 2163. 1544. 145

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