Find answers to your most challenging questions with the help of IDNLearn.com's experts. Get timely and accurate answers to your questions from our dedicated community of experts who are here to help you.

Write an expression in terms of pie that represents the area of the shaded part of N

Write An Expression In Terms Of Pie That Represents The Area Of The Shaded Part Of N class=

Sagot :

Let us write the formula for the area of the shaded portion,

[tex]\text{Area of a }\sec tor\text{=}\frac{\theta}{360}\times\pi r^2[/tex][tex]\begin{gathered} \text{where }\theta=360^0-75^0=285^0 \\ r=\text{radius}=x \end{gathered}[/tex]

Let us now solve for the area in terms of π,

[tex]\begin{gathered} \text{Area of the sector=}\frac{\text{285}^0}{360^0}\times\pi\times x^2 \\ =\frac{19}{24}x^2\pi \\ =0.7917x^2\pi\approx0.79x^2\pi\text{ (to nearest hundredth)} \end{gathered}[/tex]

Hence, the area in terms of π is 0.79x²π units.