Find the area of a sector
1 answer:
Answer:
990 cm²
Step-by-step explanation:
Given ratio of radii = a : b , then
ratio of areas = a² : b²
Here
ratio of radii = 50 : 30 = 5 : 3 , then
ratio of areas = 5² : 3² = 25 : 9
let x be the area of sector DEF , then using proportion
=
←
cross- multiply
25x = 24750 ( divide both sides by 25 )
x = 990
Area of sector DEF = 990 cm²
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<h3>Answer:</h3>
See attached graphs.
<h3>Step-by-step explanation:</h3>You are being asked to observe the graphs of the various equations and identify something they have in common. To answer the question, it usually works well to do exactly what the question asks you to do.
a: All three lines have a slope of at least 1 and pass through the origin.
b: These lines all have the same slope. They are parallel.
c: All three lines have a slope less than 1 and pass through the origin.
d: These are all the same line.
e: All of these lines intersect at the point (2, -2).
_____
<em>Comment on the graphs</em>
The number of attachments allowed here is limited, so some graphs have been combined. Where there are 3 lines, the first is red, the second is blue, the third is green.
Graphs for (a) and (c) appear on the same page. The graphs for (c) are shown as dashed lines.
Graphs for (b) and (d) appear on the same page. The graph for (d) is shown in orange (as a dashed line). All threee lines look exactly like this.
_____
<em>Comment on the graphing program</em>
These are graphed using the Desmos on-line graphing calculator. It has a tutorial available and is not difficult to learn for most simple graphing applications. (It prefers the variables x and y.) Graphs can be saved for later. (Here, screen shots are used because Brainly doesn't like external links.)