what is the area of this figure? write your answer using decimals. use 3.14 for π. square yards
what is the area of this figure? write your answer using decimals. use 3.14 for π. square yards
Answer
Explanation:
Step1: Divide the figure into shapes
Divide the figure into a rectangle, a square and a quarter - circle.
Step2: Calculate the area of the rectangle
The rectangle has length $l = 6$ yd and width $w=5$ yd. Area of rectangle $A_1=l\times w = 6\times5=30$ square yards.
Step3: Calculate the area of the square
The square has side length $s = 3$ yd. Area of square $A_2=s^2=3\times3 = 9$ square yards.
Step4: Calculate the area of the quarter - circle
The radius of the quarter - circle $r = 3$ yd. Area of a full - circle is $A=\pi r^{2}$, so area of quarter - circle $A_3=\frac{1}{4}\pi r^{2}=\frac{1}{4}\times3.14\times3^{2}=\frac{1}{4}\times3.14\times9 = 7.065$ square yards.
Step5: Calculate the total area
Total area $A = A_1+A_2+A_3=30 + 9+7.065=46.065$ square yards.
Answer:
$46.065$