The radius of a circle is 5 centimeters. What is the length of a 90 arc?
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Answer:
The length of arc is 7.85cm
Step-by-step explanation:
You can find the length of arc by using the formula :
[tex] \frac{θ}{360} \times 2 \times π \times {r}[/tex]
θ = 90°
r = 5cm
Arc = (90/360)×2×π×5
= (1/4)×2×π×5
= (1/4)×10×π
= (5/2)π
= 7.85 cm (3s.f)
Given
radius (r) = 5 cm
thita = 90°
π = 3.14
We have the formula to calculate the length of arc which is
Arc length = 2πr ( thita / 360°)
= 2 * 3.14 * 5 ( 90° / 360°)
= 31.4 * 0.25
= 7.85 cm