Find the length of QS.P530RNote: Use either the pi button on your calculator or 3.14 for pi. Round to the nearest tenth.
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arc QS in degrees is 2 x angle QRS
so angle substended at the centre of the circle by QS is 60 degrees
now,
theta/360 x 2pi x r
theta is 60 degrees
radius of the circle is 5 (from the center of P)
so,
60/360 x 2(3.14) x 5
60/360 x 6.28 x 5
= 0.1666 x 31.4
= 5.23124
QS = 5 degrees to the nearest tenth