This circle, with center point Q, has a radius of 10 centimeters. The length of the minor arc NP is 20.42 centimeters. To the nearest degree, what is the value of x? Picture will be posted.

Respuesta :

the complete question in the attached figure

we know that
[the length of a circumference]=2*pi*r
for r=10 cm
[the length of a circumference]=2*pi*10-----> 62.8 cm

if 360° ( full circle)  has a length of---------> 62.8 cm
x--------------------------------------> 20.42 cm
X=20.42*360/62.8-----> x+117.05°-------> x=117°

the answer is
the value of x is 117°
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