Answer:
°
Step-by-step explanation:
In this problem, one is asked to find the measure of the arc in degrees. This problem provides one with a diagram since the center is unnamed, call the center point (O). One is given the information that angle (<DOE) has a measure of (90) degrees. One is asked to find the degree measure of the surrounding arc (DE).
The central angles theorem states that if an angle has its vertex on the center of a circle, the degree measure of the angle is equal to the degree measure of the surrounding arc. One can apply this here by stating the following:
Substitute,
Answer:
682,000 miles
Step-by-step explanation:
Using the ratio of 186,000 miles per second:
we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon
where 'x' is the number of miles between the earth and the moon
Cross-multiply: x = 186,000*
Solve for x = 682,000 miles
Answer:
<h2>A = 2.25π</h2>Step-by-step explanation:
The formula of an area of a circle:
r - radius
The formula of a circumference of a circle:
We have:
Substitute:
<em>divide both sides by 2π</em>
Substitute: