In the diagram above, PXR and PYO are two semi-circles with diameters 14cm and 7cm respectively. Find the area of the enclosed region, PXROY correct to the nearest whole number
-
96cm2
- 116cm2
- 154cm2
- 192cm2
- 385cm2
The correct answer is: A
Explanation
Area of the bigger semi circle PRO = \(\frac{ฯr^2}{2}\)
= \(\frac{22}{7}\) x \(\frac{49}{2}\) = 77cm\(^2\)
2nd Area of the smaller circle DYO = \(\frac{22}{7}\) x \(\frac{3.5^2}{2}\) = 19.25cm\(^2\)
Total Area = 77 + 19.25 = 96.25 โ 96.00cm\(^2\)