We have been given a circle H, in which length of arc XY is 78 miles and measure of arc XY is 70 degrees. We are asked to find the radius of circle.
We will use arc length formula to solve our given problem.
, where,
r = Radius of circle,
= Central angle corresponding to arc.
We know that the measure of central angle that corresponds to arc XY will be equal to measure of arc XY.







Upon rounding to nearest hundredth, we will get:

Therefore, the radius of circle H is approximately 63.88 miles.
Answer:
25% reduced
Step-by-step explanation:
45/60= .75
1-.75=.25
Answer:
36
Step-by-step explanation:
Answer:
multiplying by 100 "shifts" decimal point to the right by 2
90
1379
2989.4
Step-by-step explanation:
Answer:
392 ft²
Step-by-step explanation:
Break this area into two parts, that is, into two trapezoids. The first trapezoid, on the left, has length 8 ft and average length (30 ft + 27 ft)/2, so its area is (8 ft)(28.5 ft) = 228 ft ².
The second trapezoid has width 8 ft and average length (19 + 22)/2 ft, or 8 ft by 20.5 ft). The area of this part is 164 ft².
Thus, the total area is 164 ft² + 228 ft², or 392 ft²