Question

A piece of wire 22 cm long is bent into the form of an arc of a circle subtending
an angle of 60° at its centre. Find the radius of the circle.​

Answer 1

length of arc =60/360×2×22/7×r

22=1/6×44/7×r

22=1/3×22/7×r

r=22×3/1×7/22

r=21cm

Answer 2

Radius of circle = 21 cm .

Given:                

A piece of wire 22 cm long is bent into the form of an arc of a circle subtending

An angle of 60° at its centre.

To find:

The radius of the circle.​

Formula used:

Perimeter of arc = $\frac{\text{Angle \ of \ arc \ in \ radian}}{2\pi }\times 2\pi \times \text{Radius\ of \ circle}$    

From the given data:            

Angle of arc in radian =$\frac{\pi }{3}$

Finding the radius of circle :

Perimeter of arc =   $\frac{\text{Angle \ of \ arc \ in \ radian}}{2\pi }\times 2\pi \times \text{Radius\ of \ circle}$

22  = $\frac{\frac{\pi }{3} }{2\pi }\times 2\pi$ × (Radius)

Radius = $\frac{22 \times 3}{\pi }$

            = $\frac{22\times 3}{3.14}$

            = 21.019 ≈ 21

Radius = 21 cm.

Therefore, the radius of the circle is 21 cm.

To learn more...

1. Refer to the previous problem. Suppose, the goldsmith argues that he has not mixed copper or any other material with gold, rather some cavities might have been left inside the ornament. Calculate the volume of the cavities left that will allow the weights given in that problem.

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2. Why data volume is a problem in IoT-based cloud computing?

a. because data are encrypted and hard to analyze

b. because data coming from IoT devices are always in raw format and difficult to store

c. because the density of IoT devices is increasing each day and in turn the volume of generated data is growing very fast

d. because IoT device density is decreasing each day and in turn the volume of generated data are decreasing very fast

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