Answer:
12√b5
Step-by-step explanation:
.................
We have been given that in a circle an arc length 10 is intercepted by a central angle of 2/3. We are supposed to find the radius of the circle.
We will use arc-length formula to solve our given problem.
, where,
= Arc length,
= Radius,
= Central angle corresponding to arc length.
Upon substituting our given values in arc-length formula, we will get:




Therefore, the radius of the given circle would be 15 units.
Answer:
30π ft^2 which is 94.25 ft^2 to the nearest hundredth.
Step-by-step explanation:
The area of the full circle is π * 6^2
= 36π so:
the area of the 300 degrees sector = 300 * 36 π / 360
= 30 π
Use the Point-Slope formula: y - y1 = m(x - x1)
-1 = m, x1 = 0, y1 = 5 y - 5 = -1(x - 0)
Distribute the (-1): y - 5 = -x
Add 5 to both sides: y = -x + 5