# What is the length of a circle that has a central angle of 98 degrees and 6 cm?

1 answer

###### Question:

what is the length of a circle that has a central angle of 98 degrees and 6 cm?

## Answers

I think the length referred to here is the arc length. For convenience, let us just proceed to the derived formulas for circular geometry. The formula for arc length, S, isS = (n/360)(Perimeter)The variable n is the measure of the central angle that intercepts the arc. In this case, n = 98°. The perimeter of the circle is equal to 2πr. Substituting the values,S = (98°/360°)(2×π× 6 cm)S = 10.26 cmThere is also a formula that is easier to remember, but you have to convert degrees to radians. The conversion is 180° = π radians. The formula isS = rθS = (6 cm)(98°)(π/180°)S = 10.26 cmThus, the arc length is 10.26 cm.

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