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Goryan [66]
2 years ago
9

If a point is chosen inside the large circle, what is the probability that it will also be inside the small circle?

Mathematics
1 answer:
miskamm [114]2 years ago
6 0

Answer:

If a point is chosen inside the large circle, what is the probability that it will also be inside the small circle = 0.25

Step-by-step explanation:

i) the area of the small circle is = \pi \times (1)^2 = \pi

ii) the area of the larger circle = \pi times 2^{2}  = 4\pi

iii) the probability of a point chosen in the larger circle will also be inside the smaller circle will be equal to = \frac{\pi}{4\pi}  = \frac{1}{4} = 0.25

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8 0
2 years ago
In a circle, a chord of 50 cm bisects a chord of 40 cm. Find the length of the longer segment of the 50 cm chord.
Andreyy89

Answer:

<u>The length of the longer segment of the 50 cm chord = 40</u>

Step-by-step explanation:

let the length of the longer segment of the 50 cm chord = x

so, the other segment = 50 - x

A chord of 50 cm bisects a chord of 40 cm

using the Intersecting Chords Theorem

so, x(50-x) = 20 * 20

50x - x² = 400

x² - 50x + 400 = 0

(x - 40)(x - 10) = 0

x = 40 or x = 10

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8 0
2 years ago
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