A circle's center is at $(2, 7)$ $(2 ,7 )$ and it passes through $(6, 4)$ $(6 ,4 )$ . What is the length of an arc covering $\frac{π}{3}$ $( pi ) /3$ radians on the circle?

Question

A circle's center is at $(2, 7)$ $(2 ,7 )$ and it passes through $(6, 4)$ $(6 ,4 )$ . What is the length of an arc covering $\frac{π}{3}$ $( pi ) /3$ 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

1525 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-29T05:45:52

$\frac{5 π}{3}$ $( 5 pi ) / 3$

Explanation:

Please check my solution here for a detailed explanation.

Solution
Radius $r = \sqrt{{(6 - 2)}^{2} + {(4 - 7)}^{2}} = 5$ $r = sqrt( (6 - 2)^2 + (4 - 7)^2 ) = 5$ .
Arc length $S = \frac{5 π}{3}$ $S = ( 5 pi ) / 3$ .

Science

Math

Humanities

... and beyond

A circle's center is at $(2, 7)$ $(2 ,7 )$ and it passes through $(6, 4)$ $(6 ,4 )$ . What is the length of an arc covering $\frac{π}{3}$ $( pi ) /3$ radians on the circle?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A circle's center is at (2,7)(2 ,7 ) and it passes through (6,4)(6 ,4 ). What is the length of an arc covering π3( pi ) /3 radians on the circle?

1 Answer

Explanation:

Related questions

Impact of this question

A circle's center is at $(2, 7)$ $(2 ,7 )$ and it passes through $(6, 4)$ $(6 ,4 )$ . What is the length of an arc covering $\frac{π}{3}$ $( pi ) /3$ radians on the circle?