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

Question

A circle has a center at $(7, 9)$ $(7 ,9 )$ and passes through $(4, 3)$ $(4 ,3 )$ . What is the length of an arc covering $\frac{π}{4}$ $pi /4$ 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

2053 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-11T21:53:27

I found $5.3$ $5.3$

Explanation:

We can use the 2 points to find the radius of the circle (evaluating the sdistance between them):

$r = distance between points = \sqrt{{(7 - 4)}^{2} + {(9 - 3)}^{2}} = \sqrt{45} = 6.7$ $r="distance between points"=sqrt((7-4)^2+(9-3)^2)=sqrt(45)=6.7$

The arc length $s$ $s$ will be given as:
$s = r θ = 6.7 \cdot \frac{3.14}{4} = 5.26 \approx 5.3$ $s=rtheta=6.7*(3.14)/4=5.26~~5.3$

enter image source here

Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A circle has a center at (7,9)(7 ,9 ) and passes through (4,3)(4 ,3 ). What is the length of an arc covering π4pi /4 radians on the circle?

1 Answer

Explanation:

Related questions

Impact of this question

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