Question

MATHEMATICS Week 6
ASSESSMENT:
Solve: How much larger is a circular pan with a 16 inches diameter than a square pan with
sides measuring 16 inches?​

Answer 1

Answer:

Area of Square Pan is more than Circular pan by 54.94 inc^2

Step-by-step explanation:

Area of the Square is given by $16\times 16 = 256 inc^2$.

where as area of the circular pan with diameter having 16 inches( radius = 8 inches) is given by $\pi\times(8)^2\approx201.062inc^2$. So Area of Square pan will be greater.

Generalization:

Area of Circular pan of diameter 'a' is $\frac{\pi(a)^2}{4} \approx 0.7854(a^2).$

Area of square of side 'a' is $a^2$ which is obviously greater than previous one for any value of a.