Advertisements
Advertisements
प्रश्न
Using ruler and compasses only, draw tangents to a circle of radius 3 cm from a point 5 cm from the centre. What is the length of each of them ?
Advertisements
उत्तर
Steps of oonstruction:
(i) Draw a cirde of radius 3 cm with centre O.
(ii) Join the centre O to the given point P which is 5 cm away from O.
(iii) Draw a perpendicular bisector of OP. Let M be the mid-point of OP.
(iv) With Mas centre and radius OM, draw a circle cutting the first circle at A and B.
(v) Join PA and PB.
(vi) PA and PB are the required tangents.
(vii) On measuring, PA and PB = 4 cm
APPEARS IN
संबंधित प्रश्न
Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
Draw two concentric circles of radii 3 cm and 5 cm. Construct a tangent to smaller circle from a point on the larger circle. Also measure its length.
Draw a right triangle ABC in which AB = 6 cm, BC = 8 cm and ∠B = 90°. Draw BD perpendicular from B on AC and draw a circle passing through the points B, C and D. Construct tangents from A to this circle.
Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the circle and measure their lengths. Give the justification of the construction.
Draw a circle of diameter 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.
Draw a circle of radius 3 cm. Form a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents.
A park is of the shape of a circle of diameter 7 m. It is surrounded by a path of width of 0·7 m. Find the expenditure of cementing the path, if its cost is Rs 110 per sq. m ?
Draw a circle of radius 4 cm and take a point Pon its circumference. Construct a tangent to the circle at P.
There is a circle with center O. P is a point from where only one tangent can be drawn to this circle. What can we say about P?
Construct a pair of tangents to a circle of radius 3 cm which are inclined to each other at an angle of 60°.
