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3 years ago

How do you find the length of a line in a circle?

Mathematics

1 answer:

GREYUIT [131]3 years ago

8 0

Answer:

How to calculate and derive the formula for the Chord Length of a circle. The formula for the chord length is: 2rsin(theta/2) where r is the radius of the circle and theta is the angle from the centre of the circle to the two points of the chord.

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The perimeter of a rectangle is forty inches. The length is two inches more than three times the width. Find the dimensions of t

butalik [34]

Answer:

L=3w+2...L+w=40... 4w+2=40...w=3/5 and L=30/5

6 0

2 years ago

P (2, 3) and Q (6, 10) are two points on the Cartesian plane.

lara31 [8.8K]

Step-by-step explanation:

Given:

$(x_1, \: y_1 ) =(2, \:3)\:\:\&\:\: (x_2, \: y_2) =(6, \:10)$

$l(PQ) = \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2}} \\ \\ = \sqrt{ {(2 - 6)}^{2} + {(3 - 10)}^{2}} \\ \\ = \sqrt{ {( - 4)}^{2} + {( - 7)}^{2}} \\ \\ = \sqrt{16 + 49} \\ \\ = \sqrt{65} \\ \\ \therefore \purple{ \boxed{ l(PQ) = 8.06 \: units}}\\\\$

Let S be the mid-point of PQ.

$\therefore S = \{\frac{x_1+x_2}{2}, \:\:\frac{y_1+y_2}{2}\} \\\\= \{\frac{2 +6}{2}, \:\:\frac{3+10}{2}\} \\\\= \{\frac{8}{2}, \:\:\frac{13}{2}\} \\\\\therefore S= \{4, \:\:6.5\} \\\\$

Equation of line PQ is given as:

$\frac{y-y_1}{y_1 - y_2}=\frac{x-x_1}{x_1 - x_2} \\\\\therefore \frac{y-3}{3 - 10}=\frac{x-2}{2 - 6} \\\\\therefore \frac{y-3}{-7}=\frac{x-2}{-4} \\\\\therefore \frac{y-3}{7}=\frac{x-2}{4} \\\\\therefore 4(y-3)=7(x-2)\\\\\therefore 4y-12=7x-14\\\\\therefore 7x-14 - 4y + 12=0\\\\\red{\boxed {\therefore 7x-4y - 2 =0}}$

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3 years ago

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if you work and 8 hour shift on each weekend day and take two weeks off during the year, how many hours will you work in a year?

otez555 [7]

$365:7=52 \frac{1}{7} \rightarrow\ the\ number\ of\ weeks\ in\ year\\\\52 \frac{1}{7}-2=50 \frac{1}{7}\\\\50 \cdot5+1=251\ \ \ \rightarrow\ \ \ number\ of \ workday\\\\251\cdot8=2008\ (hour/year)\ \leftarrow\ Ans.$

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3 years ago

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Pi is the ratio of what two measures of a circle?

WITCHER [35]

Pi (π) is the measure of a circle's diameter (and for that matter, radius) and it's circumference. It's an irrational number and therefore neither repeats nor terminates. The value is estimated (and accepted) to be 3.1415.

Hope I could help you!

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2 years ago

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Which is the equation for the parabola

JulijaS [17]

2x3 not sure though

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2 years ago

How do you find the length of a line in a circle?​

How do you find the length of a line in a circle?