Mathematics: The radius of circle o is 24,and oc = 11. what is the length of ab?

The radius of circle o is 24,and oc = 11. what

Ответ:

laddy1983

14.06.2020

Mathematics

The answer is A.

42.7

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Ответ:

carog24

13.03.2022

Mathematics

The correct option is (A) 42.7 units.

Step-by-step explanation: Given that the radius of the circle center at O is 24 units and OC is 11 units.

We are to find the length of chord AB.

We have,

in the right-angled triangle OCB (m∠OCB = 90°),

OB = 24 units and OC = 11 units.

Using Pythagoras theorem in ΔOCB, we have

$OB^2=OC^2+BC^2\\\\\Rightarrow BC=\sqrt{OB^2-OC^2}\\\\\Rightarrow BC=\sqrt{24^2-11^2}\\\\\Rightarrow BC=\sqrt{576-121}\\\\\Rightarrow BC=\sqrt{455}\\\\\Rightarrow BC=21.33.$

Since OC is perpendicular to chord AB, so AC = BC.

Therefore, we get

$AB=AC+BC=2\times BC=2\times 21.33=42.66=42.7.$

Thus, the required length of AB is 42.7 units.

Option (A) is CORRECT.

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Ответ:

jtoole5341

11.05.2023

Mathematics

$\bf \begin{cases}
x=5cos(t)\implies \frac{x}{5}=cos(t)\\\\
cos^{-1}\left( \frac{x}{5} \right)=cos^{-1}[cos(t)]\\\\ cos^{-1}\left( \frac{x}{5} \right)=\boxed{t}\\
----------\\
y=5sin(t)\implies y=5sin\left( \boxed{cos^{-1}\left( \frac{x}{5} \right)} \right)
\end{cases}$

just a matter of substitution

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The radius of circle o is 24,and oc = 11. what is the length of ab?

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