Question

if 10 turns of wire is recoiled on a cylindrical reel of radius 3.5 cm find the length of the wire​

Answer 1

Since m∠PAQ = 130° the measure of arc PQ = 130° (measure of minor arc equals the measure of the associated central angle). If the measure of arc PQ = 130°, then the measure of ∠PSQ = 65° (measure of an inscribed angle is half the measure of the subtended arc)

Since m∠PAQ = 130° the measure of ∠QAR = 50° (because PAR is a straight angle). If m∠QAR = 50°, then the measure of arc QR = 50° (measure of minor arc equals the measure of the associated central angle).

Because ∠SPR = 35°, the measure of arc RS = 70° (measure of an inscribed angle is half the measure of the subtended arc).

Answer 2

Answer:

The wire is recoiled on a cylindrical reel means we have to find the circumference of the circular portion of cylinder.

Circumference of circle (1 turn) = 2πr

⇒ 2*22/7*3.5

⇒ 154/7

= 22 cm

So, 22 cm wire will be needed to recoil the cylindrical reel in 1 turn.

For 10 turns, wire will be needed = 10*22

= 220 cm