The circumference of Z is 84cm. What is the length of XY(the minor arc)?

Since the angle XZY is 90 degrees, it is a quarter of the whole circle. (360 / 90 = 4). So the arc that has an angle of 90 degrees (XY) is also going to be a quarter of the circle's circumference.

The circle's circumference is 84 cm. 84 / 4 = 21. Therefore the length of the arc XY is 21 cm.

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bhoopendrasisodiya34 bhoopendrasisodiya34 · Answer 2 · 2022-05-21T07:15:39+02:00

The measurement of the length of arc XY which is the minor arc of the circle with circumference of 84 cm, is 21 cm.

What is the circumference of the circle?

The circumference of the circle is the length of its boundary. It can calculate with the following formula;

P=πr²

Here, (r) is the radius of the circle.

The perimeter of the circle Z is 84 centimeters. The arc XY is the one fourth of the full circle. Thus, the measure of the length of this arc is one fourth times the perimeter of the circle.

Arc XY=84*(1/4)

Arc XY=21

Hence, the measurement of the length of arc XY which is the minor arc of the circle with circumference of 84 cm, is 21 cm.

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