what is the area of this figure? write your answer using decimals. use 3.14 for π.
what is the area of this figure? write your answer using decimals. use 3.14 for π.
Answer
Answer:
$86.28$ in²
Explanation:
Step1: Calculate rectangle area
$A_1 = 8\times9=72$ in²
Step2: Calculate small square area
$A_2=2\times2 = 4$ in²
Step3: Calculate quarter - circle area
The radius of the quarter - circle $r = 2$ in. The area of a full - circle is $A=\pi r^{2}$, so the area of a quarter - circle $A_3=\frac{1}{4}\times3.14\times2^{2}=3.14$ in²
Step4: Calculate total area
$A = A_1+A_2+A_3=72 + 4+3.14=86.28$ in²