Consider a circle with a radius of 10 centimeters.What is the sector area with an arc that measures 60° for the given circle?
To find the sector area with an arc that measures 60° for a circle with a radius of 10 centimeters, you can use the formula:
Sector Area = (θ/360) x πr^2
where:
- θ is the angle in degrees
- r is the radius of the circle
Given that θ = 60° and r = 10 cm, we can plug these values into the formula:
Sector Area = (60/360) x π(10)^2
Sector Area = (1/6) x π(100)
Sector Area = (1/6) x 100π
Sector Area = 16.67 cm^2
Therefore, the sector area with an arc that measures 60° for a circle with a radius of 10 centimeters is approximately 16.67 square centimeters.