Area and Perimeter Practice Test 3

Question : 2 of 40

Marks: +1, -0

A chord AB of a circle of radius 10 cm makes a right angle at the centre of the circle. The areas of the major and minor segments are:

Solution:

Area of circle =

{22}/7×(10)^2

{2200}/{7} cm^2

~ 314

cm^2

Area of minor segment =

{90}/{360} × {22}/7 × 10^2 - 1/2 × 10 × 10

{550}/7 - 50

{200}/7

= 28.57
~ 28.5

cm^2

Hence, area of major segment = 314 – 28.5 = 285.5

cm^2

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