Suppose a chord of a circle is 16cm and is 12 cm from the center of the circle. find the radius.
1 answer:
Answer:
The radius of the circle is approximately 14.42cm
Step-by-step explanation:
If the length of the chord is 16cm and it is 12cm from the center of the circle.
it means it forms 2 right angles while dividing the center of the chord, to the center of the circle, and at right angle. Length of the adjacent then become 16/2 = 8cm
To calculate the radius which forms hypothenus of the right angle triangle, we use Pytagoras Theorem
Say =
+
, where r is the radius of the circle
= 144 + 64
= 208
r =
r = 14.4222
r ≈ 14.42
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Answer:
32°
Step-by-step explanation:
Given:
∠DMQ = 58º
In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°
Therefore, ∠MDQ = 90°
The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:
180 = ∠DMQ + ∠MDQ + ∠DQM
Solving for ∠DQM, we have:
∠DQM = 180 - ∠DMQ - ∠MDQ
∠DQM = 180 - 90 - 58
∠DQM = 32°
The measure of ∠DQM is 32°
