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Inga [223]
3 years ago
7

Determine the angle at the centre of a circle with radius 12.0 cm for an arc length of of 21.0 cm.

Mathematics
1 answer:
nata0808 [166]3 years ago
7 0

Answer:

\theta=\dfrac{7}{4}\ \text{radian}

Step-by-step explanation:

We have,

Radius of the circle is 12 cm

Arc length, l = 21 cm

It is required to find the central angle of the circle. The formula for the length of an arc of a circle is :

l=r\times \theta

\theta is central angle

\theta=\dfrac{l}{r}\\\\\theta=\dfrac{21}{12}\\\\\theta=\dfrac{7}{4}\ \text{radian}

So, the angle at the centre of the circle is \dfrac{7}{4}\ \text{radian}.

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