Centre- the point within the circle where the distance to points on the circumference is the same.radius- the distance from the centre to any point on the circle. The diameter is twice the radius.circumference(perimeter) - the distance around a circle.diameter- a chord(of max. length) passing through the centreSome definitions

chordis a straight line joining two points on the circumference. If line intersect the circle at two point that is called secanttangent- a straight line making contact at one point on the circumference, such that the radius from the centre is at right angles to the line.Some definitions

- a straight line which touches the circle at only one pointAB = tangent to the circle- perpendicular to the radius at the point of contact

Solution:Draw a straight line joining point P and centre O.Step 1:

Solution:Step 2:Adjust your compasses so that its radius is slightly more than half of the length of OP.

Solution:Place your compasses at P. On the line OP, draw one point on both sides of P.Step 3:

Solution:Place your compasses at one of the point on the line OP, draw an arc above and below the line OP.Step 4:

Solution:With the same radius and another point on line OP as centre, draw another two arcs to intersect the ones drawn in step 4.Step 5:

Solution:Join the two intersections with a straight line.Step 6:

OTSolution:Step 1:Draw a straight line joining point T and centre O.

OTSolution:Step 2:Adjust your compasses so that its radius is slightly more than half of the length of OT.

OTSolution:Step 3:Place your compasses at T. Draw a short arc above and below the line OT.

OTSolution:With the same radius and your compasses placed at O, draw arcs to intersect the ones drawn in Step 3.Step 4:

OTSolution:Step 5:Join the two intersections with a straight line.

OTSolution:Step 6:Label the midpoint as M. Using M as the centre and OM as the radius, draw two arcs that cut the circle at P and Q.PQ

OTSolution:Step 7:Join points P and Q to point T.MPQ

PT = QT PTO = OTQ POT = QOTPOT and QOT are congruent.

#1 Finding Angle Measures is tangent to . Find the value of x.DOxoE38o

#2 Finding a TangentA belt fits tightly around two circular pulleys. Find the distance between the centers of the pulleys.PO4 cm3 cm15 cm15 cmx7 cm3 cm15 cm

#4 Circles Inscribed in PolygonsCircle O is inscribed in Triangle PQR. Triangle PQR has a perimeter of 88 cm. Find QY.POQRXZY17 cm15 cm15 cm17 cmxx

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