If a angle on the circumference of a circle is subtended by a diameter of the circle what is the angle

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

4 0

Answer:

The angle is 90 degrees

Step-by-step explanation:

Required

Angle subtended by the diameter

The theorem to solve this is:

The angle subtended by an arc is twice the angle it subtends.

The diameter forms $180^\circ$ on the circle, so we have:

$2*\theta = 180^\circ$

Where $\theta$ is the angle subtended

Solve for $\thets$ $\theta$

$\theta = \frac{180^\circ}{2}$

$\theta = 90^\circ$

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How do you get the answer and sketch it to this graft

Katyanochek1 [597]

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f(x) = -4(x² - 2x - 2x + 4) + 2
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x = -16 +/- √(256 - 224)
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x = -16 + 5.66 x = -16 - 5.66
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x = -10.34 x = -21.66
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f(1,2925) = -4(1.67055625) + 20.68 - 14
f(1.2925) = -6.682225 + 20.68 - 14
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or
f(x) = -4x² + 16x - 14
f(2.7075) = -4(2.7075)² + 16(2.7075) - 14
f(2.7075) = -4(7.33055625) + 43.32 - 14
f(2.7075) = -29.322225 + 43.32 - 14
f(2.7075) = 13.997775 - 14
f(2.7075) = -0.002225
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f(2 - 1.415i) = 12.0045 - 16 + 9
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