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3 years ago

A circle has a radius of 63 cm.

Mathematics

2 answers:

Montano1993 [528]3 years ago

4 0

Arc length = radius * central angle (in radians)
arc length = 63 * 2PI/9 radians
arc length = 14 PI

Alika [10]3 years ago

4 0

Answer:

$14\pi\ cm$

Step-by-step explanation:

we know that

The formula to calculate the arc length of the circle is equal to

$arc\ length=r \theta$

where

$r$ is the radius

$\theta$ is the central angle in radians

In this problem we have

$r=63\ cm$

$\theta=\frac{2\pi}{9}$

substitute the values

$arc\ length=63(\frac{2\pi}{9})$

$arc\ length=14\pi\ cm$

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3 years ago

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Round to the nearest tenth.

inessss [21]

Answer: Angle A = 53.9 degrees

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3 years ago

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marshall27 [118]

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3 years ago

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I need to know if it’s A B C OR D

Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

$\angle NMP+\angle NOP=180^0$

Recall that

$\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}$

Hnece, we have that

$\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}$

Then

$\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}$

Hence

x=17

Since

$\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}$

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

5 0

1 year ago