Advertisements
Advertisements
Question
State, if the following statement is true or false:
The longest chord of a circle is its diameter.
Options
True
False
Advertisements
Solution
True
The diameter of a circle is the longest chord.
APPEARS IN
RELATED QUESTIONS
In Fig., if AB = AC, prove that BE = EC

In fig., O is the centre of the circle, PA and PB are tangent segments. Show that the quadrilateral AOBP is cyclic.
Fill in the blanks:
A point, whose distance from the centre of a circle is greater than its radius lies in __________ of the circle. (exterior/ interior)
In the given figure, PO⊥QO. The tangents to the circle at P and Q intersect at a point T. Prove that PQ and OT are right bisector of each other.

In the given figure, AB is a side of a regular six-sided polygon and AC is a side of a regular eight-sided polygon inscribed in the circle with centre O. Calculate the sizes of:
- ∠AOB,
- ∠ACB,
- ∠ABC.

On a semi-circle with AB as diameter, a point C is taken, so that m (∠CAB) = 30°. Find m(∠ACB) and m (∠ABC).
Draw a circle of radius 3.6 cm. In the circle, draw a chord AB = 5 cm. Now shade the minor segment of the circle.
If the radii of two concentric circles are 4 cm and 5 cm, then the length of each chord of one circle which is tangent to the other circle is ______.
If a number of circles touch a given line segment PQ at a point A, then their centres lie on the perpendicular bisector of PQ.
If A, B, C, D are four points such that ∠BAC = 30° and ∠BDC = 60°, then D is the centre of the circle through A, B and C.
