SOLUTION: The chord AB of a circle whose centre is O is 10cm long and AOB = 140 degre. Calculate the radius of the circle
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Question 1132230: The chord AB of a circle whose centre is O is 10cm long and AOB = 140 degre. Calculate the radius of the circle
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The chord of a circle whose centre is is long and < °. Calculate the radius of the circle
If you draw the diagram with radii you will realize you have an isosceles triangle whose base length and angles you know.
Thus you can divide it into two congruent right triangles and calculate the radius using sine.
if
< ° => and AOB is an triangle
and midpoint of is divide AOB into two congruent right triangles: and
since and and < ° is divided into two angles, each measure °
then
The radius is the hypotenuse of a right-angled triangle and distance from center and half the length of the chord.
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