A circle's center is at $(2, 1)$ $(2 ,1 )$ and it passes through $(3, 1)$ $(3 ,1 )$ . What is the length of an arc covering $\frac{13 π}{12}$ $(13pi ) /12$ radians on the circle?

Question

A circle's center is at $(2, 1)$ $(2 ,1 )$ and it passes through $(3, 1)$ $(3 ,1 )$ . What is the length of an arc covering $\frac{13 π}{12}$ $(13pi ) /12$ radians on the circle?

1 Answer

Related questions

How many degrees does the hour hand of a clock turn in 5 minutes?
A circle has a center at $(3, 1)$ $(3 ,1 )$ and passes through $(2, 1)$ $(2 ,1 )$ . What is the length...
A circle has a center at $(7, 6)$ $(7 ,6 )$ and passes through $(2, 1)$ $(2 ,1 )$ . What is the length...
A circle has a center at $(7, 6)$ $(7 ,6 )$ and passes through $(2, 1)$ $(2 ,1 )$ . What is the length...
A circle has a center at $(7, 6)$ $(7 ,6 )$ and passes through $(2, 1)$ $(2 ,1 )$ . What is the length...
A circle has a center at $(7, 3)$ $(7 ,3 )$ and passes through $(2, 7)$ $(2 ,7 )$ . What is the length of...
A circle has a center at $(1, 3)$ $(1 ,3 )$ and passes through $(2, 4)$ $(2 ,4 )$ . What is the length of...
A circle has a center at $(1, 3)$ $(1 ,3 )$ and passes through $(2, 4)$ $(2 ,4 )$ . What is the length of...
A circle has a center at $(1, 3)$ $(1 ,3 )$ and passes through $(2, 1)$ $(2 ,1 )$ . What is the length of...
A circle has a center at $(1, 2)$ $(1 ,2 )$ and passes through $(4, 7)$ $(4 ,7 )$ . What is the length of...

Impact of this question

1784 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T18:10:11

$L = \frac{13}{12} π \cdot r = \frac{13}{12} π$ $L =13/12pi*r = 13/12pi$

enter image source here

Explanation:

By inspection Radius, $r = ¯ ¯¯¯¯ ¯ A B = 1$ $r = bar(AB) =1$ or you can use the distance formula: $¯ ¯¯¯¯ ¯ A B = r = \sqrt{{(2 - 3)}^{2} + {(1 - 1)}^{2}} = 1$ $bar(AB) = r = sqrt((2-3)^2 + (1-1)^2) = 1$
Nos the arc length, $L = \frac{13}{12} π \cdot r = \frac{13}{12} π$ $L =13/12pi*r = 13/12pi$

Science

Math

Humanities

... and beyond

A circle's center is at $(2, 1)$ $(2 ,1 )$ and it passes through $(3, 1)$ $(3 ,1 )$ . What is the length of an arc covering $\frac{13 π}{12}$ $(13pi ) /12$ radians on the circle?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A circle's center is at (2,1)(2 ,1 ) and it passes through (3,1)(3 ,1 ). What is the length of an arc covering 13π12(13pi ) /12 radians on the circle?

1 Answer

Explanation:

Related questions

Impact of this question

A circle's center is at $(2, 1)$ $(2 ,1 )$ and it passes through $(3, 1)$ $(3 ,1 )$ . What is the length of an arc covering $\frac{13 π}{12}$ $(13pi ) /12$ radians on the circle?