Q50. - Algebra 2

Question

The formula for the area of a circle with diameter d is $A=\pi {\left(\frac{d}{2}\right)}^2$. Write an expression to represent the area of the circle.

Step-by-Step Solution

Answer

Area of circle is represented as $\pi {\left(\frac{y+5}{2}\right)}^2$

Step 1 - Observation from figure

From figure, diameter of circle is $y+5$

Step 2 - Substitution

Substitute $y+5$ for to get the expression for area of circle

Step 3 - Required expression

Expression for area of circle is represented as  $A=\pi {\left(\frac{y+5}{2}\right)}^2$

Thus, required expression is $A=\pi {\left(\frac{y+5}{2}\right)}^2$