by angelynmaeg

Log in to add a comment

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.

Given:

Central Angle =

Length of Subtended Arc = 28.5 cm

Find: Radius of the Circle

Solution:

(Let π = 3.1416)

Central Angle in Radians = x π / x 3.1416 = 427.26 (rounded to 2 decimal places)/ [tex] 180^{o} [/tex}

= 2.37 (rounded again to the nearest hundredths place)

Formula:

Radius = Arc Length ÷ Central Angle (in radians)

Radius = 28.5 cm ÷ 2.37

Radius = 12.03 cm (rounded to the nearest hundredths place)

Final Answer = 12.03 cm

(Take note that this value here may not be the exact value because we are only dealing with estimates here, so the answer may not be exact but may be nearer to the exact answer)