Question

the circumference of a circle exceeds its radius by 37 CM find the diameter of the circle of the circle (use π=22/7)

Answer 1

Answer: 14cm

Step-by-step explanation:

Circumference of a circle = 2×pi×radius

Radius of the circle = circumference - 37

So, 2pi×r=r+37

=>2×22/7×r=r+37

=>44/7×r=r+37

=> 44r=7r+ 37×7

=> 37r=37×7

=> r=7

So diameter = 7×2

=14cm

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Answer 2

The diameter of the circle is 14 cm

Step-by-step explanation:

Let the radius be r

Circumference of circle =$2 \pi r$

We are given that the circumference of a circle exceeds its radius by 37 CM

$2 \pi r - r = 37$

$(2 \times \frac{22}{7} -1)r=37$

$r=\frac{37}{(2 \times \frac{22}{7} -1)}$

r=7 cm

Diameter of circle =$2r =2(7)=14 cm$

Hence The diameter of the circle is 14 cm

#Learn more:

If the difference between the circumference and radius of a circle is 37 cm, then find the circumference of the circle. (Use π = 22/7).

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