Find the area of a sector determined by a 315degrees° angle in a circle of radius 4.
Question
Find the area of a sector determined by a 315degrees° angle in a circle of radius 4.
Solution
The formula to find the area of a sector is given by:
Area = (θ/360) * π * r²
where: θ = angle of the sector in degrees r = radius of the circle
Given: θ = 315 degrees r = 4 units
Substitute these values into the formula:
Area = (315/360) * π * 4²
Simplify the equation:
Area = (7/8) * π * 16
Area = 14π square units.
Similar Questions
Find the area of a sector that has a radius of 9 cm with a 130° angle.
The circle shown with radius has a sector with a central angle of . What is the area of the sector?
Find the area of the sector with diameter 24 feet central angle (15/16)pi
A sector has an area of 3m22 squared and subtends an angle of 80° at the centre of a circle.What is the radius of this circle?
The area of a sector is 52 in2. If the radius is 10 in, what is the measure of the angle of the sector?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.