Answer:
Arc length of the partial circle = 3π units
Step-by-step explanation:
Given question is incomplete; please find the complete question attached.
Formula for the arc length of a circle =
Here θ is the angle formed by the sector at the center.
Angle that is formed at the center of the circle is = 360° - 90°
= 270°
So, length of the arc =
= 3π
Therefore, length of the given partial circle is 3π units.
Answer:
Step-by-step explanation:
In rectangle ABCD, AB = 6, BC = 8, and DE = DF.
ΔDEF is one-fourth the area of rectangle ABCD.
We want to determine the length of EF.
First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:
The area of the triangle is 1/4 of this. Therefore:
The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:
Since DE = DF:
Thus:
Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:
Therefore:
Square:
Add:
And finally, we can take the square root of both sides: