Answer:
Length of arc of a circle is given by:
\(L = r \cdot \theta\) .....[1]
where
L is the length of an arc
r is the radius of the circle.
As per the statement:
Diameter of the circle(D) = 6 inches.
we know that:
D =2r
6 = 2r
Divide both sides by 2 we get;
3 = r
or
r = 3 inches
We have to find the long arc arc subtended by an angle measuring 70°.
Substitute the value of r = 3 inches and \(\theta = 70^{\circ}\) in [1] we have;
\(L =3 \cdot 70\)
Simplify:
L = 210 inches
Therefore, 210 inches long is the arc subtended by an angle measuring 70 degree.
