Advertisements
Advertisements
Question
One chord of a circle is known to be 10 cm. The radius of this circle must be
Options
5 cm
greater than 5 cm
greater than or equal to 5 cm
less than 5 cm
Advertisements
Solution
greater than 5 cm
We are given length of a chord to be 10 cm and we have to give information about the radius of the circle.
Since in any circle, diameter of the circle is greater then any chord.
So diameter > 10
⇒ 2r > 10
⇒ r > 5 cm
APPEARS IN
RELATED QUESTIONS
Fill in the blanks:
The centre of a circle lies in ____________ of the circle.
Fill in the blank
A continuous piece of a circle is ............... of the circle
If \[d_1 , d_2 ( d_2 > d_1 )\] be the diameters of two concentric circle s and c be the length of a chord of a circle which is tangent to the other circle , prove that\[{d_2}^2 = c^2 + {d_1}^2\].
In the above figure, `square`XLMT is a rectangle. LM = 21 cm, XL = 10.5 cm. Diameter of the smaller semicircle is half the diameter of the larger semicircle. Find the area of non-shaded region.
Draw a circle of radius 4.8 cm and mark its center as P.
(i) Draw radii PA and PB such that ∠APB = 45°.
(ii) Shade the major sector of the circle
If a hexagon ABCDEF circumscribe a circle, prove that AB + CD + EF = BC + DE + FA.
A circle of radius 3 cm can be drawn through two points A, B such that AB = 6 cm.
From the figure, identify a sector.
Draw any circle and mark
- it's centre
- a radius
- a diameter
- a sector
- a segment
- a point in its interior
- a point in its exterior
- an arc
If radius of a circle is 5 cm, then find the length of longest chord of a circle.
