Question

A chord of a circle of radius 10 cm subtends a right angle at the center.Find the area of the corresponding: (i) minor segment (ii) major segment (Use π=3.14)​

Answer 1

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radius r=10cm

angle =90

area of sector A=90/360pir^2

A=3.14x10x10/4

A=25x3.14

A=78.5sq.cm

Let the angle subtended and radius form an arc AOB,then

area of AOB=rxrsin90/2

AOB=10x10x1/2

ar. of AOB =50sq.cm

area of minor segment =78.5-50

=28.5aq.cm

Then area of circle =pir^2

=3.14x10x10

=314 Sq.cm

area of major segment =area of circle -area of minor segment

=314-28.5

=285.5sq.cm

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Answer 2

Answer:

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