Question

find the area of the yellow shaded region. 15 cm area = ? cm² round to the nearest tenth

Explanation:

Step1: Calculate area of square

The area formula for a square is $A = s^2$, where $s = 15$ cm. So $A_{square}=15^2 = 225$ $cm^2$.

Step2: Calculate area of quarter - circle

The area formula for a circle is $A=\pi r^2$. Here the radius $r = 15$ cm and we have a quarter - circle. So $A_{quarter - circle}=\frac{1}{4}\pi r^2=\frac{1}{4}\pi\times15^2=\frac{225\pi}{4}$ $cm^2\approx\frac{225\times3.14}{4}= 176.625$ $cm^2$.

Step3: Calculate area of shaded region

Subtract the area of the quarter - circle from the area of the square. $A = A_{square}-A_{quarter - circle}=225 - 176.625 = 48.375\approx48.4$ $cm^2$.

Answer:

$48.4$ $cm^2$