Mathematics
The radius of a circle is 6 cm. Find its diameter. If O is the centre of the circle; state, giving reasons, the position of points A, B and C; if;
(i) OA = 4.8 cm
(ii) OB = 7.5 cm
(iii) OC = 6 cm
Answer
The radius of a circle = 6 cm
As, the diameter is twice the radius.
Diameter = 2 x 6 cm = 12 cm.
(i) OA = 4.8 cm
As, 4.8 < 6 (Radius)
Hence, A lies inside the circle.
(ii) OB = 7.5 cm
As, 7.5 > 6 (Radius)
Hence, B lies outside the circle.
(iii) OC = 6 cm
As, 6 = 6 (Radius)
Hence, C lies on the circumference of the circle.
Related Questions
The following figure shows the circle with centre O.
Use the figure to fill the blanks in each of the following :
(i) AB = ……………..
(ii) Radius = …………….
(iii) Chords = ……….. and ………..
(iv) Diameter = …………
(v) AB = 2 x ………….
M is a fixed point in a plane and a point P moves in the same plane such that PM = 10 cm. State :
(i) the name of the figure formed.
(ii) the length of the radius of the circle.
(iii) the length of the diameter of the circle.
Can a chord of length 16 cm can be drawn in this circle? Give reason.
Fill in the blanks :
(i) An arc is the part of the ……………….
(ii) Diameter of a circle bisects …………
(iii) The part of the circumference greater than the semicircle is called …………….
(iv) Sector of a circle is its region bounded by ……………..
(v) The segment of a circle is the region bounded by ………………
(vi) A tangent of a circle meets the circle at …………..
(vii) The number of tangents that can be drawn through a point on its circumference = ……………
(viii) The number of tangent that can be drawn through a point outside the circle is ……………..
O is the center of a circle with diameter 30 cm. P is a point outside the circle and PA is tangent of the circle. Find :
(i) the length of tangent PA; if OP = 39 cm.
(ii) the distance between O and P, if the length of the tangent PA is 20 cm.