To find the sector area with an arc that measures 60° for a circle, we need to first find the total area of the circle and then apply the formula for sector area.
The total area of a circle is given by the formula A = πr^2, where r is the radius of the circle.
Now, since the arc measures 60°, we can calculate the fraction of the circle represented by the arc as 60° divided by 360° (since there are 360° in a circle), which is 1/6.
Therefore, the sector area of the circle for the arc measuring 60° is 1/6 times the total area of the circle, i.e., (1/6) * πr^2.
So, the sector area with an arc that measures 60° for the given circle is (1/6) * πr^2.
What is the sector area with an arc that measures 60° for the given circle?What is the sector area with an arc that measures 60° for the given circle?give answer in a fraction
1 answer
1 answer