What is the approximate length of the arc formed by a 90^(circ) angle on a circle that had a radius of 70 feet?

Keekee Pall

Keekee Pall

Answered question

2022-05-23

Answer & Explanation

Jeffrey Jordon

Jeffrey Jordon

Expert2022-11-09Added 2605 answers

To convert from degrees to radians, we should multiply by 180°π

90°=90°180°π=12π=π2radians 

While finding the product above, the 180° in the denominator gets cancelled by 90°, to produce 2

Remember that: The arc length is given by

s=r θ

where θ is measured in radians

Substitute r=70 feet and θ=π2 . to get

s=70 × π2=35π feet  109.956 feet

 

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