Respuesta :
so for a straight line the total is 180 degrees, so angle rpq is 180 - 123 which. makes 57 °. and arc length is just circumference of circle x 57/360. so here, it would be 20πx57/360 so the answer is 9.948..... and round it up 9.9 cm
The length of the arc QR is 9.3cm
How to calculate the length of an arc
The formla for calculating the length of an arc is expressed as:
- L = rФ
r is the radius = 10cm
Ф = 180 - 123
- Ф = 57 degrees
Substitute the values into the formula to have:
L = 10 (53*3.14/180)
L = 9.25cm
Hence the length of the arc QR is 9.3cm
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