In the following figure, side of square ABCD is 7 cm. With centre D and radius DA, sector D-AXC is drawn. Fill in the following boxes properly and find out the area of shaded region :[Figure: square ABCD with A at the top left, D at the top right, B…

Q.2 (A)(3) In the following figure, side of square ABCD is 7 cm. With centre D and radius DA, sector D-AXC is drawn. Fill in the following boxes properly and find out the area of shaded region :

[Figure: square ABCD with A at the top left, D at the top right, B at the bottom left and C at the bottom right, side 7 cm. A quarter circle (sector D-AXC) with centre D and radius DA = 7 cm is drawn from A to C inside the square, passing through X. The region between the sides AB, BC and the arc AXC is shaded.]

Solution :

Area of square = (side)²
= (7)²
∴ Area of square = ____ cm²
If area of sector (D-AXC) = 38.5 cm², then
A (shaded region) = A ____ – A ____
= 49 cm² – 38.5 cm²
= ____ cm²