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3 years ago

A circular sector has an area of 64 in. squared. The radius of the circle is 8 in. What is the arc length of the sector?

Physics

1 answer:

Rom4ik [11]3 years ago

5 0

Answer:

L = 16 [in]

Explanation:

In order to find the arch we must first find the angle that forms the circular sector, using the following formula:

$A = \frac{\alpha*r^{2} }{2} \\where:\\A= area = 64[in^{2}]\\r = radius = 8[in]\\\\\alpha = angle[rad]therefore\\\alpha =\frac{2*A}{r^{2} } \\\alpha =\frac{2*64}{8^{2} } \\\alpha =2[rad]$

Now using the following equation we can calculate the arc length

$L=\alpha *r\\L=2*8\\L=16[in]$

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Answer:

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krek1111 [17]

Answer:

Explanation:

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2 years ago

A vector starts at the point (0.0) and ends at (2,-7) what is the magnitude of the displacement

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3 years ago

Each plate of a parallel‑plate capacitor is a square of side 3.63 cm, and the plates are separated by 0.473 mm. The capacitor is

NARA [144]

Answer:

E= 55.53 x 10³ V/m

Explanation:

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$C=\dfrac{\varepsilon _oA}{d}$

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3 years ago

A circular sector has an area of 64 in. squared. The radius of the circle is 8 in. What is the arc length of the​ sector?

A circular sector has an area of 64 in. squared. The radius of the circle is 8 in. What is the arc length of the sector?