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प्रश्न
Write True or False. Give reasons for your answers.
A chord of a circle, which is twice as long as its radius, is a diameter of the circle.
पर्याय
True
False
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उत्तर
True.
Let AB be a chord which is twice as long as its radius. It can be observed that in this situation, our chord will be passing through the centre of the circle. Therefore, it will be the diameter of the circle.
संबंधित प्रश्न
A chord of a circle of radius 10 em subtends a right angle at its centre. The length of the chord (in em) is
`(A) 5sqrt 2`
`(B) 10 sqrt2`
`(C)5/sqrt2`
`(D) 10sqrt 3`
In Fig. 8, O is the centre of a circle of radius 5 cm. T is a point such that OT = 13 cm and OT intersects circle at E. If AB is a tangent to the circle at E, find the length of AB, where TP and TQ are two tangents to the circle.
O is the center of a circle of radius 8cm. The tangent at a point A on the circle cuts a line through O at B such that AB = 15 cm. Find OB
Fill in the blank:
A point whose distance from the centre of a circle is greater than its radius lies in ..................... of the circle.
Choose correct alternative answer and fill in the blank.
Radius of a circle is 10 cm and distance of a chord from the centre is 6 cm. Hence the length of the chord is .........
The chord of length 30 cm is drawn at the distance of 8 cm from the centre of the circle. Find the radius of the circle
In the adjoining figure ‘O’ is the center of the circle, ∠CAO = 25° and ∠CBO = 35°. What is the value of ∠AOB?
In the given figure, AB is the diameter of the circle. Find the value of ∠ACD.
A circle of radius 3 cm can be drawn through two points A, B such that AB = 6 cm.
Say true or false:
The centre of a circle is always in its interior.
