How to Calculate the Area of a Sector of a Circle
Choosing the biggest slice of pizza may seem like an intuitive skill but is really a matter of mathematics. A perfect slice, cut from the middle of the pizza, can be thought of as a sector of a circle. A sector has three boundaries, comprising two radii...
The total area of a circle is πr<sup>2</sup>. The area of the sector can be obtained by
multiplying the circle's area by the ratio of the angle and 2π ...
Keywords: sector; area; radius; solve for sector; pi; shaded region; central angle.
Pre-Algebra ... A sector is just a fraction of the area of a circle. Did you know that ...
A worked example of finding the area of a circle's sector using the area of the
circle and the central angle of the sector.
The formula used to find the area of a circlular sector - a pie-shaped part of a
Explains formulas for areas of sectors of circles and lengths of arcs.
Demonstrates how to use the formulas in each of degrees and radians.
index: subject areas. numbers & symbols · sets, logic, proofs · geometry · algebra
· trigonometry ... Area of a Sector of a Circle. The formula is given below.
Area of a Sector. You can work out the Area of a Sector by comparing its angle to
the angle of a full circle. Note: we are using radians for the angles. circular ...
Hint: Use the Arithmetic Mean-Geometric Mean Inequality to find the maximum
area of a circular sector with a fixed perimeter.
Arc length is a fraction of circumference, calculated using the angle at centre and
diameter. Area of a sector is area of a fraction of a circle, calculated using the ...