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The circumference of a circle exceeds …

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The circumference of a circle exceeds its diameter by 45 centimetre find the circumference of the circle

Posted by Animesh Yadav 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

Let the radius of the circle be r.
Now,
Circumference = Diameter + 45
{tex}\Rightarrow 2 \pi r = 2 r + 45{/tex}
{tex}\Rightarrow 2 \pi r - 2 r = 45{/tex}
{tex}\Rightarrow 2 r \left( \frac { 22 } { 7 } - 1 \right) = 45{/tex}
{tex}\Rightarrow 2 r \left( \frac { 15 } { 7 } \right) = 45{/tex}
{tex}\Rightarrow r = \frac { 45 \times 7 } { 30 }{/tex}
= 10.5 cm
Therefore, circumference = Diameter + 45 = 2(10.5) + 45 = 66 cm
Hence, the circumference of the circle is 66 cm.

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CBSE > Class 10 > Mathematics