1)Draw a Circle with centre O and radius 4 cm. Take any four points. A, B, C
and D on the Circle. Draw seg AB, BC, CD and DA. Produce seg AB and take a
find
point E on it such that A-B-E. Now m2 ADC and m2 EBC. Draw your conclusion
and write the statement of the theorem which is verified by above activity.
Answers
Answer:
Since tangents to a circle is perpendicular to the radius through the point.
∴∠ORD=∠OSD=90
o
It is given that ∠D=90
o
. Also, OR=OS. Therefore, ORDS is a square.
Since tangents from an exterior point to a circle are equal in length.
∴BP=BQ CQ=CR and, DR=DS.
Now,
BP=BQ
⇒ BQ=27 [∵BP=27 cm (Given)]
⇒BC−CQ=27
⇒38−CQ=27
∵ BC=38cm ⇒CQ=11 cm
⇒CR=11 [∵CR=CQ]
⇒CD−DR=11
⇒25−DR=11 [∵CD=25cm]
⇒DR=14 cm
But, ORDS is a square. ⇒ OR=DR=14 cm.
⇒ r=14 cm.
solution
Answer verified by Toppr
4113 ViewsSince tangents to a circle is perpendicular to the radius through the point.
∴∠ORD=∠OSD=90
o
It is given that ∠D=90
o
. Also, OR=OS. Therefore, ORDS is a square.
Since tangents from an exterior point to a circle are equal in length.
∴BP=BQ CQ=CR and, DR=DS.
Now,
BP=BQ
⇒ BQ=27 [∵BP=27 cm (Given)]
⇒BC−CQ=27
⇒38−CQ=27
∵ BC=38cm ⇒CQ=11 cm
⇒CR=11 [∵CR=CQ]
⇒CD−DR=11
⇒25−DR=11 [∵CD=25cm]
⇒DR=14 cm
But, ORDS is a square. ⇒ OR=DR=14 cm.
⇒ r=14 cm.
solution
Answer verified by Toppr
4113 Views