GATE 2023 ST – Question 10

General Aptitude · Spatial Aptitude: Spatial Reasoning and Visualization · 2 marks · Multiple choice

A square has side 4 cm. The shaded boundary consists of a top semicircle and two lower circular arcs, each of radius 2 cm, as shown. Find the shaded area in cm².

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: (A) 8

Explanation

The top half-rectangle has area 8; removing its semicircle leaves 8−2π shaded. The two lower shaded quarter-disks contribute 2·π·2²/4=2π. Total shaded area=8−2π+2π=**8, A**.

More Spatial Aptitude: Spatial Reasoning and Visualization questions

GATE 2022 ST Q3 – A trapezium has vertices P,Q,R,S in anticlockwise order,PQ∥SR,and side lengths…
GATE 2022 ST Q4 – The figure is a 4×4 grid of unit squares with the unshaded cell representing a hole. How…
GATE 2022 ST Q5 – The diagram shows an art gallery with opaque boundary walls. A stationary guard has a 360°…
GATE 2022 ST Q8 – P=(0,1),Q=(0,−3),R=(−2,−1),S=(2,−1) are the vertices of a quadrilateral. Find its enclosed…
GATE 2022 ST Q10 – In the square shown,P,Q,R,S mark its corners and T its center. X is a 180° rotation about…
GATE 2021 ST Q3 – Find the least number of squares to add so that the line P–Q becomes a line of symmetry of…

All Spatial Aptitude: Spatial Reasoning and Visualization questions →