Math CentralQuandaries & Queries


Question from Alice, a student:

the radius of a circle is 7cm the angle of the sector is 68 how do you find the

Hi Alice,

You didn't finish the question but maybe I can help anyway. The angle of the sector is 68o and the entire circle is 360o. The sector is only a fraction of the circle, in fact it is $\frac{68}{360}$ of the circle. From the symmetry of the circle you can see that the area of the sector is $\frac{68}{360}$ of the area of the circle and the length of the arc is $\frac{68}{360}$ of the circumference of the circle.

I hope this helps,

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