Answer:
Minor arc AB length = 15.74 cm
Step-by-step explanation:
We know that, circumference of circle = 2πr
where r is the radius.
so the formula simply reduces this by the ratio of the arc angle to a full angle (360).
Given that arc angle is 90°.
So, arc length is the one forth length of the whole circle.
Whole circle arc length (circumference) = 2πr
= 2*3.14*10 = 62.83 cm
Now calculate the arc AB length = [tex]\frac{1}{4}[/tex] circumference of circle.
Minor arc AB length = [tex]\frac{62.83}{4}[/tex]
Minor arc AB length = 15.74 cm
