Circle

Fill in the blanks: All point lying inside/outside a circle are called ... points/ ... points. Circle having the same centre and different radii are called ... circles. A point whose distance from the centre of a circle is greater than its radius lies in .... of the circle. A continuous piece of a circle is .... of the circle. The longest chord of a circle is a ......of the circle. An arc is a ......... when its ends are the ends of a diameter. Segment of a circle is the region between an arc and ... of the circle. A circle divides the plane, on which it lies, in .... parts.

Fill in the blanks: (i) The diameter of a circle is … times its radius (ii) The diameter of a circle is the … chord of the circle. (iii) The diameter of a circle pass through…. (iv) A chord of a circle is a line segment with its end points on the … (v) If we join any two points on a circle by a line segment, we obtain… (vi) A radius of a circle is a line segment with one end at …. and the other end at…. (vii) All radii of a circle are… (viii) The diameters of circle are… (ix) The total number of diameters of circle is… (x) Every point on a circle is…from its centre.. (xi) A chord of a circle contains exactly….points of the circle.. (xii) A diameter is the longest… (xiii) Concentric circles are circle having….

A circle is drawn in a sector of a larger circle of radius r, as shown in the adjacent figure. The smaller circle is tangent to the two bounding radii and the are of the sector. The radius of the small circle is-

Two circles have an external tangent with length 36 cm. The shortest distance between these circles is 14 cm. If the radius of the longer circle is 4 times the radius of the smaller circle then the radius of the larger circle in cms is

If the chord of contact of tangents from a point P to a given circle passes through Q , then the circle on P Q as diameter. cuts the given circle orthogonally touches the given circle externally touches the given circle internally none of these

In each of the following , state it the statement is true (T) or false (F): (i) Every circle has a centre. (ii) The centre of a circle is a point of the circle. (iii) Any two radii of a circle make up diameter. (iv) Every chord of a circle is parallel to some diameter of the circle. (v) A circle is symmetric about each of its diameter. (vi) The diameter is twice the radius. (vii) A radius is a chord of the circle. (viii) Concentric circles have the same radii. (ix) The nearer a chord to the centre of a circle, the longer is its length.

Fill in the blanks: (i) The centre of a circle lies in_________ of the circle. (exterior/ interior) (ii) A point, whose distance from the centre of a circle is greater than its radius lies in_________ of the circle. (exterior/ interior) (iii) The longest chord of a circle is a_________ of the circle. (iv) An arc is a _________when its ends are the ends of a diameter. (v) Segment of a circle is the region between an arc and________ of the circle. (vi) A circle divides the plane, on which it lies, in________ parts.

A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle S_1a n dS_1 is the director circle of circle S_2, and so on. If the sum of radii of all these circles is 2, then the value of c is ksqrt(2) , where the value of k is___________

The adjoining figure shows two circles with the same centre. The radius of the larger circle is 10 cm and the radius of the smaller circle is 4 cm.Find: (a) the area of the larger circle (b) the area of the smaller circle (c) the shaded area between two circles ( π=3.14)

A circle S of radius ' a ' is the director circle of another circle S_1,S_1 is the director circle of circle S_2 and so on. If the sum of the radii of all these circle is 2, then the value of ' a ' is (a) 2+sqrt(2) (b) 2-1/(sqrt(2)) (c) 2-sqrt(2) (d) 2+1/(sqrt(2))