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Find the length of the arc with central angle of 225° and radius of 5 cm. Use 3.14 for pi(π) and round to the nearest hundredth.

98.13 cm

45 cm

24.53 cm

19.63 cm

1 Answer

5 votes

Answer: The length of an arc is given by the formula:

length of arc = (central angle/360) x 2πr

where r is the radius of the circle.

Substituting the given values, we get:

length of arc = (225/360) x 2 x 3.14 x 5

= 0.625 x 31.4

= 19.63 cm (rounded to the nearest hundredth)

Therefore, the length of the arc with central angle of 225° and radius of 5 cm is approximately 19.63 cm. Option (D) is the correct answer.

User Xavier Priour
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