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Answer:
See Below.
Step-by-step explanation:
We are given two intersecting circles with centers M and N.
And we want to prove that: I) PQ ⊥ MN and that II) PR = RQ.
Since MP and MQ are radii of the same circle:
Likewise, since NP and NQ are radii of the same circle:
And by the Reflexive Property:
Therefore, by SSS Congruence:
By CPCTC:
And by the Reflexive Property:
And since they are the radii of the same circle:
Therefore, by SAS Congruence:
Therefore, by CPCTC:
Note that PQ is a chord in Circle M.
Therefore:
In a circle, a segment that passes through the center of the circle that is perpendicular to a chord also bisects the chord.
And conversely, a segment that passes through the center of a circle that bisects a chord in the circle is also perpendicular to the chord.
So:
Answer:
The circumference is 31.43 cm
The ratio of the circumference to the diameter is equal to 3:1
Step-by-step explanation:
Thed formular for the circumference of a circle is 2r or
d
where d = diameter and r = radius
if d = 10 cm, and = 3.143, then circumference of the circle can be given as
3.143*10 = 31.43 cm
The ratio of the circumference to the diameter can be given as 31.43:10
and that can be given as 3.143:1
or 3:1, for the nearest whole number