Draw a circle of radius 3 cm. P and Q are points on the circle such that ZPOQ = 120° Construct tangents to the circle at P and Q to meet at a point R. Write measure ZPRQ. What is the value of ZPOQ +2 PRQ?
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Class 10
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>>Draw a circle of radius 3 cm . Take two
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Draw a circle of radius 3 cm. Take two points P and Q on one of its extended on both sides of its centre, each at a distance of 7 cm on opposites of its centre. Draw tangents to the circle from each of these two points P and Q
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Step 1: Draw a circle with centre O and radius 3 cm using a compass.
Step 2: Draw a secant passing through the centre. Mark points P and Q on opposite sides of the centre at a distance of 7 cm from O.
Step 3: Place the compass on P and draw two arcs on opposite sides of OP. Now place the compass on O and draw two arcs intersecting the arcs drawn from point P.
Step 4: Join the intersection points of the arcs to obtain the perpendicular bisector of OP. Mark the mid point of OP as M
1
Step 5: From M
1
draw a circle with radius =M
1
P=M
1
O
Step 6: Mark the intersection points of the circle drawn from M
1
with the circle drawn from O as A and B.
Step 7: Join P−A and P−B
Step 8: Repeat steps 3 to 7 for point Q and obtain tangents QC and QD
PA,PB,QC and QD are the required tangents.