Question

approximate the area of a circle with the given radius. use π ≈ 3.14 and round the result to the tenths place. (use the formula a = πr².) r = 1.2 m area ≈ □ m² (do not round until the final answer. then round to the nearest tenth as needed.)

Explanation:

Step1: Substitute values into formula

Given $r = 1.2$m and $\pi\approx3.14$, substitute into $A=\pi r^{2}$. So $A\approx3.14\times(1.2)^{2}$.

Step2: Calculate $(1.2)^{2}$

$(1.2)^{2}=1.2\times1.2 = 1.44$. Then $A\approx3.14\times1.44$.

Step3: Multiply

$3.14\times1.44 = 4.5216$.

Step4: Round to tenths

Rounding $4.5216$ to the nearest tenth gives $4.5$.

Answer:

$4.5$ m²