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3 years ago

Calculate the length of a minor arc OP in terms of π

Mathematics

2 answers:

Zarrin [17]3 years ago

5 0

Answer: $\bold{\dfrac{16}{3}\pi}$

Step-by-step explanation:

arc length (s) = radius (r) × θ (in radians)

radius (r) = 6 cm

major arc OP is 200°, so minor arc is 160°.

$\text{Convert degrees into radians}:\\\dfrac{\pi}{180}=\dfrac{\theta}{160}\\\\\\\dfrac{160\ \pi}{180}=\theta\\\\\\\dfrac{8\pi}{9}=\theta$

$s=r\times \theta\\\\.\ =6\times \dfrac{8\pi}{9}\\\\\\.\ =\dfrac{2\times 8\pi}{3}\\\\\\.\ =\dfrac{16}{3}\pi$

Tanzania [10]3 years ago

3 0

Answer:

arc length = radius * angle in degrees * (PI / 180)

arc length = 6 * 160 * (PI/180)

arc length = PI * 960 / 180

arc length = PI * 5 + (60/180)

arc length = (16/3) * PI

Step-by-step explanation:

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Yakvenalex [24]

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maxonik [38]

Answer:

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Solnce55 [7]

Answer:

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Step-by-step explanation:

Given,

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Calculate the length of a minor arc OP in terms of π​

Calculate the length of a minor arc OP in terms of π