In circle O , points A , B , and C are on the circle such that m A B ⌢ = 60 ° and m B C ⌢ = 40 ° . a) How are m ∠ A O B and m ∠ B O C related? b) How are A B and B C related?
Solution Summary: The author analyzes the relation between mangle AOB and MOC, and concludes that the bigger arc corresponds to the larger central angle.
In circle
O
, points
A
,
B
, and
C
are on the circle such that
m
A
B
⌢
=
60
°
and
m
B
C
⌢
=
40
°
.
a) How are
m
∠
A
O
B
and
m
∠
B
O
C
related?
b) How are
A
B
and
B
C
related?
Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.
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