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The figure below shows part of a circle, with central angle as marked.

What part of the full circle does the figure represent? Express your
answer as a fraction in simplest terms.
290

The figure below shows part of a circle, with central angle as marked. What part of-example-1

1 Answer

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To determine the fraction of the full circle represented by the figure, we need to compare the central angle of the figure to the full circle.

A full circle has 360 degrees.

The part of the circle that is not missing is 290 degrees.

To find the fraction, we divide the measure of the part of the circle that is not missing by the measure of a full circle:

Fraction = (Part of circle not missing) / (Full circle)

Fraction = 290 degrees / 360 degrees

To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 10:

Fraction = (290 degrees ÷ 10) / (360 degrees ÷ 10)

Fraction = 29/36

Therefore, the figure represents 29/36 of the full circle.

I hope this helps! ;)
User Juncu
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