Question

वृत्त की परिधि उसकी व्यास से 15 अधिक है । वृत की त्रिज्या ज्ञात कीजिए ।
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Answer 1

Step-by-step explanation:

Let the circumference of circle be C and diameter be d

Therefore, according to the given information:

C = d + 15

$\therefore 2 \pi \: r = 2r + 15 \\ 2 \pi \: r - 2r = 15 \\ 2r(\pi - 1) = 15 \\ 2r( \frac{22}{7} - 1) = 15 \\ 2r( \frac{22 - 7}{7}) = 15 \\ 2r( \frac{15}{7}) = 15 \\ r = \frac{15 \times 7}{2 \times 15} \\ r = \frac{7}{2} \\ r = 3.5 \: units \\ thus \: the \: radius \: of \: the \: circle \: is \: \\ 3.5 \: units.$

Answer 2

The radius of the circle is 3.5 unit.

Step-by-step explanation:

Consider the provided information.

The circumference of circle is: $C=\pi D$

Where D is the diameter.

It is given that the circumference of the circle is 15 more than the diameter.

This can be written as:

$\pi D-D=15$

$D(\pi-1)=15$

$D=\frac{15}{\pi-1}$

Substitute the value of π in above.

$D=\frac{15}{\frac{22}{7}-1}\\\\D=\frac{15\times7}{22-7}\\\\D=\frac{15\times7}{15}\\\\D=7$

Therefore, $r=\frac{D}{2}=\frac{7}{2}=3.5$

Hence, the radius of the circle is 3.5 unit.

#Learn more

The sum of circumference and the radius of a circle is 55cm .find the radius of circle .

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