the figure below shows part of a circle, with central angle as marked. what part of the full circle does the…

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.

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.

Answer

Explanation:

Step1: Recall circle - angle relationship

A full - circle has 360°.

Step2: Set up the fraction

The fraction of the circle is given by the ratio of the central angle of the given part to the total angle of a circle. So the fraction is $\frac{290}{360}$.

Step3: Simplify the fraction

Find the greatest common divisor (GCD) of 290 and 360. The GCD of 290 and 360 is 10. Divide both the numerator and the denominator by 10: $\frac{290\div10}{360\div10}=\frac{29}{36}$.

Answer:

$\frac{29}{36}$