1.

the length of a minor arc is 2/9 of the circumference of the circle. write the measure of the angle subtended by the arc at the centre of the circle.

Answer»

According to the question

Length of minor ARC = 2/9 of circumference of the circle

we KNOW that,

Lenght of arc = theta/360 * 2πr

circumference of circle = 2πr

Apply in the question

theta/360 *2 π R = 2/9 * 2 πr

theta/360 = 2/9

theta = 2/9 * 360

theta = 80.

So, the MEASURE of angle SUBTENDED is 80°.






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