AREA OF 2-D FIGURES || Quantitative Aptitude || CAT 2021 || 11 October

In the given figure, PQRS is a square and diameter of circle with centre O is 24.5 cm. Find the area of circle circumscribed by PQRS.

The sides of a triangle are 24 cm, 26 cm and 10 cm. At each of its vertex, circles of radius 4.2 cm are drawn. What is the area (in cm²) of the portion covered by the three sectors of the circle?

PA and PB are tangents to the circle and O is the centre of the circle. The radius is 5 cm and PO is 13 cm. If the area of the triangle PAB is M, then the value of  is:

In the given figure, ABCD is a parallelogram. Diagonals AC and BD cut each other at O. P is a point on AO such that AP : PO = 1 : 3, then find the ratio between area of ΔADP and area of ΔOBP.

∆ABC and ∆DBC are on the same base BC but on opposite sides of it. AD and BC intersect each other at O. If AO = a cm, DO = b cm and the area of ∆ABC = x cm², then what is the area (in cm²) of ∆DBC ?

ABCD is a trapezium with parallel sides AB = 2 cm and DC = 3 cm. E and F are the mid-points of the non-parallel sides. The ratio of area of ARFE to area of EFCD is

∆ABC is an equilateral triangle and AD ⊥ BC, where D lies on BC. If AD = 6√3 cm, then find the area of ∆ABC.

In ΔABC, PQ||BC, area of quadrilateral PQCB=120 cm². If AQ:QC = 3:4, then what is the area of ΔAPQ?