A circle has a chord that goes from $\frac{π}{3}$ $pi/3$ to $\frac{π}{2}$ $pi/2$ radians on the circle. If the area of the circle is $49 π$ $49 pi$ , what is the length of the chord?

Question

A circle has a chord that goes from $\frac{π}{3}$ $pi/3$ to $\frac{π}{2}$ $pi/2$ radians on the circle. If the area of the circle is $49 π$ $49 pi$ , what is the length of the chord?

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

1541 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-04-16T11:59:13

3.7 units

Explanation:

The area of a circle is given as $π r^{2}$ $pir^2$ . So for this case the radius is 7.

The angle that the chord holds at the centre is $\frac{π}{2} - \frac{π}{3} = \frac{π}{6}$ $pi/2-pi/3 = pi/6$ So the length of the chord is $2 \cdot 7 sin (\frac{π}{12}) \approx 3.7$ $2*7sin(pi/12)~~3.7$

Science

Math

Humanities

... and beyond

A circle has a chord that goes from $\frac{π}{3}$ $pi/3$ to $\frac{π}{2}$ $pi/2$ radians on the circle. If the area of the circle is $49 π$ $49 pi$ , what is the length of the chord?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

A circle has a chord that goes from π3pi/3 to π2pi/2 radians on the circle. If the area of the circle is 49π49 pi , what is the length of the chord?

1 Answer

Explanation:

Related questions

Impact of this question

A circle has a chord that goes from $\frac{π}{3}$ $pi/3$ to $\frac{π}{2}$ $pi/2$ radians on the circle. If the area of the circle is $49 π$ $49 pi$ , what is the length of the chord?