Problem: In the figure, rectangle PQRS is inscribed in the circle and PQ = 6. If the area of the rectangular region is 48, what is the area of the circular region?

View all: RAJSHAHI KRISHI UNNAYAN BANK (SO) | WRITTEN QUESTION (MATH) SOLVE | 2014
Correct Answer: ans: 25
Explanation:
Here, area of PQRS = 48 and
Breadth, PQ = 6
Length, PS =$\frac{48}{6}$= 8.
Diagnal of the rectangular is = $\sqrt{6^{2}+8^{2}}$ = $\sqrt{100}$ = 10.
Radius =$\frac{10}{2}$=5
& the area of the circle = 5$^{2}$ x π = 25π