What is the measure of the corresponding central angle for XY in radians?
2 answers:
Answer:
4 radians
Step-by-step explanation:
Arc Length (Radians) = rθ
Given Arc Length XY = 40cm and radius, r = 10cm,
we will substitute these 2 values into the formula to find θ.
(10)θ = 40
θ = 40 / 10
= 4 radians
Answer:
A
Step-by-step explanation:
the length of arc XY is calculated as
arc = circumference of circle × fraction of circle
= 2πr ×
( r is radius and Θ is central angle )
here arc = 40 and r = 10 , then
2π × 10 ×
= 40
20π ×
= 40 ( cancel 20π and 2π by 2π )
10Θ = 40 ( divide both sides by 10 )
Θ = 4 radians
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