The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST

Assessment: JAMB UTME - Mathematics - 2020 Subject: General Mathematics

Question 1 Report

The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST
Answer Details

r2r r 2 r  Sin θ θ  = 12 1 2  

θ θ  = sin−1 − 1  (12 1 2 ) = 30o o  = 60o o  

Length of arc (minor)

ST = θ360 θ 360  x 2πr π r  

60360×2π×r=π3 60 360 × 2 π × r = π 3  

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