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प्रश्न
Write True or False. Give reason for your answer.
Line segment joining the centre to any point on the circle is a radius of the circle.
विकल्प
True
False
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उत्तर
True.
All the points on the circle are at equal distances from the centre of the circle, and this equal distance is called as radius of the circle.
संबंधित प्रश्न
If PT is a tangent at T to a circle whose center is O and OP = 17 cm, OT = 8 cm. Find the length of tangent segment PT.
Find the length of a tangent drawn to a circle with radius 5cm, from a point 13 cm from the center of the circle.
If the quadrilateral sides touch the circle prove that sum of pair of opposite sides is equal to the sum of other pair.
In the fig below, it is given that O is the centre of the circle and ∠AOC = 150°. Find
∠ABC.
In the above figure, seg AB is a diameter of a circle with centre P. C is any point on the circle. seg CE ⊥ seg AB. Prove that CE is the geometric mean of AE and EB. Write the proof with the help of the following steps:
a. Draw ray CE. It intersects the circle at D.
b. Show that CE = ED.
c. Write the result using the theorem of the intersection of chords inside a circle. d. Using CE = ED, complete the proof.
Draw a circle of radius of 4.2 cm. Mark its center as O. Takes a point A on the circumference of the circle. Join AO and extend it till it meets point B on the circumference of the circle,
(i) Measure the length of AB.
(ii) Assign a special name to AB.
State, if the following statement is true or false:
The longest chord of a circle is its diameter.
A part of circumference of a circle is called as _______
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| radius (r) | diameter (d) | Circumference (C) |
| 1760 cm |
In a circle with centre P, chord AB is parallel to a tangent and intersects the radius drawn from the point of contact to its midpoint. If AB = `16sqrt(3)`, then find the radius of the circle.
