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Mathematics

Grade9

Easy

Question

Find the measure of arc BD in the diagram.

180°
80°
90°
100°

hint Hint:

by theorem If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

The correct answer is: 80°

option 2 : $80 to the power of o space i s space t h e space c o r r e c t space a n s w e r$

From the diagram Diameter is $stack C D with bar on top$ perpendicular to $stack A B with bar on top$ .
So, by theorem If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.
CD bisects AB,
Therefore, m $Error converting from MathML to accessible text.$ = m $Error converting from MathML to accessible text.$
8x° = (90 – x)°
9x° = 90°
x = 10°
So m $Error converting from MathML to accessible text.$ = 8x° = 8 x 10° = 80°

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