Advertisements
Advertisements
Question
Draw a circle of radius 3 cm. Construct a square about the circle.
Advertisements
Solution
Steps of construction:
1) Draw a circle with centre O and radius equal to 3 cm.
2) Draw a diameter AC
3) Draw another diameter BD which bisects AC at right ∠s.
4) Join AB, BC, CD and DA.
5) Now draw tangents to the given circle at the points A, B, C, D and let them meet at P, Q, R, S. Then PQRS is the required square about the given circle.
APPEARS IN
RELATED QUESTIONS
Draw a circle of radius 4 cm. Draw two tangents to the circle inclined at an angle of 60° to each other.
Draw a circle of radius 3 cm. Take a point at a distance of 5.5 cm from the centre of the circle. From point P, draw two tangents to the 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 an inscribing circle of a regular hexagon of side 5.8 cm.
Draw two circles of radii 3.5 cm and 2 cm respectively so that their centres are 6 cm apart. Draw direct common tangents to the circle and show that they are equal in length.
Draw two circles of radii 3 cm and 3.5 cm, their centres being 8 cm apart. Construct a transverse common tangent and measure its length.
Which of the following is not true for a point P on the circle?
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.
Draw two concentric circles of radii 3 cm and 5 cm. Taking a point on outer circle construct the pair of tangents to the other. Measure the length of a tangent and verify it by actual calculation.
Construct a pair of tangents to a circle of radius 4 cm from a point P lying outside the circle at a distance of 6 cm from the centre.
