the area of a circle PQR with centre O is 72cmsquare. what is the area of sector POQ if angle O is equal to 40degree
(40/360)72
8cmsquare
Pls answer me
To find the area of the sector POQ, we need to know the radius of the circle. The area of a sector is a fraction of the area of the entire circle, where the fraction is equal to the measure of the angle of the sector divided by 360 degrees.
Given that the area of the circle is 72 cm², we can use the formula for the area of a circle to find the radius:
Area of a circle = π * radius²
72 cm² = π * radius²
We can solve this equation to find the value of the radius:
radius² = 72 cm² / π
Next, we need to calculate the area of the sector. The formula for the area of a sector is:
Area of sector = (Angle / 360) * π * radius²
In this case, the angle O is given as 40 degrees. Let's calculate the area:
Area of sector = (40° / 360) * π * radius²
Now that we have the formula, we can substitute the appropriate values:
Area of sector = (40° / 360) * π * (radius² from earlier calculation)
Calculating this expression will give us the area of the sector POQ in square centimeters.