The given statement is True Explanation: The distance travelled by a circular wheel of radius r m in one revolution is equal to the circumference of the circle = \[2\pi r\] So we got, Number of...
Is it true that the distance travelled by a circular wheel of diameter d cm in one revolution is \[2d\] cm? Why?
The given statement is False Explanation: We know that, Circumference of the circle = \[2\pi d\](d is the diameter of the circle). Thus, the statement is false
Is it true to say that area of a segment of a circle is less than the area of its corresponding sector? Why?
The given statement is False Explanation: In major segment, area is not always greater than the are of its corresponding sector In minor segment, area is always greater than the area of its...
In Fig 11.3, a square is inscribed in a circle of diameter d and another square is circumscribing the circle. Is the area of the outer square four times the area of the inner square? Give reasons for your answer.
Solution: The given statement is False Explanation: From the fig, Let the Diameter of the circle = d Therefore, Diagonal of inner square (EFGH) = Side of the outer square (ABCD) = Diameter of circle...
Will it be true to say that the perimeter of a square circumscribing a circle of radius \[a\] cm is \[8a\]cm? Give reasons for your answer.
The given statement is true Explanation: Let \[r\] be the radius of circle and is equal \[a\] cm Therefore, Diameter of the circle = d = \[2\times Radius\] = \[2a\] cm From the question we got that...
Is the area of the circle inscribed in a square of side a cm, \[{{a}^{2}}\] \[c{{m}^{2}}\]? Give reasons for your answer.
The given statement is false Explanation: Let us assume a be the side of square. From the question we got that the circle is inscribed in the square. Therefore, Diameter of circle = Side of square...