# A Chord of a Circle of Radius 10 Cm Subtends a Right Angle at the Centre. the Area of the Minor Segments (Given, π = 3.14) is - Mathematics

MCQ
Sum

A chord of a circle of radius 10 cm subtends a right angle at the centre. The area of the minor segments (given, π = 3.14) is

• 32.5 cm2

•  34.5 cm2

• 28.5 cm2

• 30.5 cm2

#### Solution

Area of minor segment = Area of sector AOBC - Area of right traingle AOB

= 90^circ/360^circpi("OA")^2-1/2xx"OA"xx"OB"

=1/4xx3.14xx(10)^2-1/2xx10xx10

= 78.5 - 50

= 28.5 cm2

Hence, the correct answer is option (c).

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 18 Area of Circle, Sector and Segment
Multiple Choice Questions | Q 24 | Page 848