Find Sector Area : Radius & Degrees

This podcast explains how to calculate the area of a sector (fraction of a circle) using the formula: measure/360 * πr². The example problem involves a 60° sector with an 8-unit radius, demonstrating the steps to substitute values, simplify the fraction, and calculate the sector area, resulting in 32π/3 square units.

Calculating Sector Area

• 00:00:06 The podcast introduces the concept of 'sector area', which is the area of a fraction of a circle, often visualized as a pizza slice. The formula for calculating this area is provided: measure/360 * πr², where 'measure' represents the angle of the sector and 'r' is the radius of the circle. The podcast stresses understanding the components of the formula and applying them to solve problems.

Example Problem

• 00:00:10 An example problem is presented with a 60° sector and a radius of 8 units. The presenter demonstrates the step-by-step process of plugging in the given values into the formula, simplifying the fraction 60/360 to 1/6, and calculating 8 squared to get 64. After multiplying the simplified fraction by π*64, the presenter shows how to reduce the resulting fraction to arrive at the final answer of 32π/3 square units.