A circle's center is at $(3, 9)$ $(3 ,9 )$ and it passes through $(5, 8)$ $(5 ,8 )$ . What is the length of an arc covering $\frac{7 π}{4}$ $(7pi ) /4$ radians on the circle?

Question

A circle's center is at $(3, 9)$ $(3 ,9 )$ and it passes through $(5, 8)$ $(5 ,8 )$ . What is the length of an arc covering $\frac{7 π}{4}$ $(7pi ) /4$ radians on the circle?

2 Answers

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

1953 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-28T04:18:42

$\frac{7 \sqrt{5} π}{4}$ $( 7 sqrt(5) pi ) / 4$

Explanation:

Please check my solution here for a detailed explanation.

Solution
Radius $r = \sqrt{{(5 - 3)}^{2} + {(8 - 9)}^{2}} = \sqrt{5}$ $r = sqrt( (5 - 3)^2 + (8 - 9)^2 ) = sqrt(5)$ .
Arc length $S = \frac{7 \sqrt{5} π}{4}$ $S = ( 7 sqrt(5) pi ) / 4$ .

Answer 2 · 2016-01-28T04:22:35

$\frac{7 \sqrt{5} π}{4}$ $( 7 sqrt(5) pi ) / 4$

Science

Math

Humanities

... and beyond

A circle's center is at $(3, 9)$ $(3 ,9 )$ and it passes through $(5, 8)$ $(5 ,8 )$ . What is the length of an arc covering $\frac{7 π}{4}$ $(7pi ) /4$ radians on the circle?

2 Answers

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A circle's center is at (3,9)(3 ,9 ) and it passes through (5,8)(5 ,8 ). What is the length of an arc covering 7π4(7pi ) /4 radians on the circle?

2 Answers

Explanation:

Related questions

Impact of this question

A circle's center is at $(3, 9)$ $(3 ,9 )$ and it passes through $(5, 8)$ $(5 ,8 )$ . What is the length of an arc covering $\frac{7 π}{4}$ $(7pi ) /4$ radians on the circle?