Geometry Practice Test 5

Question : 22 of 40

Marks: +1, -0

Consider the following statements:
1. Area of a segment of a circle is less than area of its corresponding sector.
2. Distance travelled by a circular wheel of diameter 2d cm in one revolution is greater than 6d cm.
Which of the above statement(s) is/are correct?

1 only
2 only
Both 1 and 2
Neither 1 nor 2

Validate

Solution:

From this major or minor segment is not declared. So the area of the segment of a circle is not less than the area of its corresponding sector. So it is not true.
(ii) Diameter of a wheel 2d cm
Circumference 2πr =

2 × {22}/7 × d

{44}/7 × d

= 6.28 d
So, the distance travelled by a circular wheel of diameter 2d cm in one revolution is greater than 6d cm
So, only 2 is true

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