Question

Find length of the arc whose central angle is 45 and radius of the circle is 28cm?

Answer 1

Hey ......
This is your answer

Length of the arc when angle is given = 2×pie×r× theta upon 360°.

= 2×22/7×28×45/360
= 2×22×4×1/8
= 8×1/8×22
= 22cm
Hence the length of the arc is 22cm.

Answer 2

Answer:

The length of an arc  whose central angle is 45° and radius of the circle is 28cm is 22m.

Step-by-step explanation:

Length of an arc:

• Arc length is the distance between two points along a section of a curve.
• Arc length is better defined as the distance along the part of the circumference of any circle or any curve(arc).
• Arc length is just a fraction of the circumference of the entire circle.

Length of an arc = θ×r , where θ is in radian.

Length of an arc = πd(θ/360°) = 2πr(θ/360°) , where θ is in degrees, and r is the radius.

Now length of an arc = 2×22/7×28×(45°/360°)

                                    =44/7×28×1/8

                                    =1232/56

       length of an arc   =22cm

Hence the length of an arc whose central angle is 45° and radius of the circle is 28cm is 22cm.

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