i just read that
"when the angle between a chord and a diameter is subtended by an angle between a radius and the same diameter, the measure of the second angle is twice that of the first."
unfortunately, i don't understand this statement. i don't understand why the second angle should always be twice that of the first!
could anybody explain me this statement? thanks a lot
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GMATGuruNY
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Wow -- I can't remember the last time I used subtended in a sentence. In fact, I can't remember any time.Fractal wrote:i just read that
"when the angle between a chord and a diameter is subtended by an angle between a radius and the same diameter, the measure of the second angle is twice that of the first."
unfortunately, i don't understand this statement. i don't understand why the second angle should always be twice that of the first!
could anybody explain me this statement? thanks a lot
Here's the rule:
A central angle is formed by 2 radii.
An inscribed angle is formed by 2 chords. (A chord is a line segment with endpoints on the circle.)
When a central angle and an inscribed angle intercept the same arc on the circle, the inscribed angle = 1/2 * the central angle.
Please see the attachment for an illustration.
Hope this helps!
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Inscribed angles that intercept the same arc will have equal degree measurements. Is this what you're asking?Fractal wrote:great explanation, thanks a lot!
this means that if i take two points on a circle and form inscribed angles, this angles
are always the same, right?
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