^^ This totally stumped on.Find the total grazing area of a goat. The animal is tied to the notheast corner of a 40' by 40' barn, by an 80' rope. The south side of the barn is extended by a fence. Assume that there is grass everywhere except inside the barn.
No idea how to find this!!A 16.0-inch chord is drawn in a circle whose radius is 10.0 inches. What is the angular size of the minor arc of this chord? what is the length of the arc, to the nearest tenth of an inch
PLEASE HELP!! This is urgent!
the first problem you won't understand until you draw the diagram. did you do that?
the second problem is plug-and-chug. i gave you the formula. there is nothing for you to do but plug in numbers and evaluate
the "angle subtended by the chord" is the minor angle they are talking about
i left out the formula for the arc length: . and are the same as before. is the arc length
Hello, pyrosilver!
As Jhevon suggested, make a sketch!
Find the total grazing area of a goat.
The animal is tied to the notheast corner of a 40' by 40' barn by an 80' rope.
The south side of the barn is extended by a fence.
Assume that there is grass everywhere except inside the barn.Code:* * * *:::::|:::::* *:::::::|:::::::* *::::::::|80::::::* :::::::::|::::::::: *:::::::::|::::80:::* *----*----*---------* *::::| 40 |:::::::::* *::| |::::::::* - - - -*- - * - - * - - - -
The upper region is a semicircle with radius 80 feet.
In the lower-left, there is a quarter-circle with radius 40 feet.
In the lower-right, there is a strange-shaped piece.Code:A * - - - - - - - - * D | * 80 * 40 | * | 30° * * B * - - - - - - - * C 40√3
Right triangle has side 40 and hypotenuse 80.
From elementary Trig,
. . and hence:
has base and height
Sector has of the area of a circle with radius 80.
I assume you can find those separate areas ... and add them.
Hello again, pyrosilver!
A 16-inch chord is drawn is a circle with a radius of 10 inches.
(a) What is the angular size of the minor arc of the chord?Code:* * * * | 8 * A* - - - C - - - *B * \ | / * \ | /10 * \ |θ/ * * * * * O * * * * * * * * * *
In right triangle
Let
Then: . radians
Therefore: . radians
(b) What is the length of arc (nearest tenth)?
inches.