Question

ws 8c - complex area v.1 directions: find the area. 1. 10 yd 5 yd

Explanation:

Step1: Calculate area of rectangle

The formula for the area of a rectangle is $A_{rect}=l\times w$. Here, $l = 10$ yd and $w=10$ yd. So $A_{rect}=10\times10 = 100$ square - yards.

Step2: Calculate area of semi - circle

The formula for the area of a full - circle is $A_{circle}=\pi r^{2}$, and for a semi - circle $A_{semicircle}=\frac{1}{2}\pi r^{2}$. Given $r = 5$ yd, then $A_{semicircle}=\frac{1}{2}\pi\times5^{2}=\frac{25\pi}{2}\approx\frac{25\times3.14}{2}=39.25$ square - yards.

Step3: Calculate total area

The total area $A$ of the figure is the sum of the area of the rectangle and the area of the semi - circle. So $A = A_{rect}+A_{semicircle}=100 + 39.25=139.25$ square yards.

Answer:

$139.25$ square yards