CBSE Class 10 Maths (Standard) 2016 · Paper 30/2/1 · Question 14

Areas Related to Circles 3 marks Medium

In Fig. 5 is a chord

A B

of a circle, with centre

O

and radius

10

cm, that subtends a right angle at the centre of the circle. Find the area of the minor segment

A QB P

. Hence find the area of major segment

A L B Q A

. (use

π = 3.14

)

Fig. 5 — chord AB subtending 90 degrees at centre O; minor segment AQBP shaded.

Answer

Minor segment

A QB P = 28.5 cm^{2}

and major segment

A L B Q A = 285.5 cm^{2}

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