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Find the length of the arc with central angle of 225° and radius of 5 cm. Round to the nearest hundredth. 19.63 cm 24.53 cm 45 cm 98.13 cm Please help!!!
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Find the length of the arc with central angle of 225° and radius of 5 cm. Round to the nearest hundredth.

19.63 cm
24.53 cm
45 cm
98.13 cm
Please help!!!

User Faoxis
by
8.7k points

1 Answer

2 votes
we know that
circumference=2*pi*r
for r=5 cm
circumference=2*pi*5-----> 31.4 cm

if 360° (full circle) has a length of------------> 31.4 cm
225°-----------------------------> X
X=225*31.4/360-----> X=19.625-----> x=19.63 cm

the answer is
19.3 cm

User Dinc
by
8.8k points
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