Answer:
<h3>
- The ratio of the measure of central angle PQR to the measure of the entire circle is One-eighth. </h3><h3>
- The area of the shaded sector depends on the length of the radius. </h3><h3>
- The area of the shaded sector depends on the area of the circle</h3>
Step-by-step explanation:
Given central angle PQR = 45°
Total angle in a circle = 360°
Ratio of the measure of central angle PQR to the measure of the entire circle is 
. This shows ratio that <u>the measure of central angle PQR to the measure of the entire circle is one-eighth</u>.
Area of a sector = 
= central angle (in degree) = 45°
r = radius of the circle = 6
Area of the sector
<u>The ratio of the shaded sector is 4.5πunits² not 4units²</u>
From the formula, it can be seen that the ratio of the central angle to that of the circle is multiplied by area of the circle, this shows <u>that area of the shaded sector depends on the length of the radius and the area of the circle.</u>
Since Area of the circle = πr²
Area of the circle = 36πunits²
The ratio of the area of the shaded sector to the area of the circle = 
For length of an arc
ratio of the length of the arc to the area of the circle = 
It is therefore seen that the ratio of the area of the shaded sector to the area of the circle IS NOT equal to the ratio of the length of the arc to the area of the circle
<span>A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is 5_ units. The points(-7,5) and (-7,-1</span>) lie on this circle.
Answer:
The meet at first time at starting point after 336 seconds,
Vanu have completed 7 laps while Tanuj has completed 6 laps.
Step-by-step explanation:
Given that Venu and Tanuj take 48 seconds and 56 seconds to
complete a lap respectively.
To meet them again at the startiong point, the time taken must be multiple of 56 and 48.
So, the minimum time required to meet them again at the startiong point is time taken for first time meet.
Time taken to first time meet is the smallest number which can be divided by 56 and 48, i.e the lowest common factor (LCM) of 56 and 48 which is 336 seconds or 5 minutes 36 seconds.
Number of laps by Venu
Number of laps by Tanuj
He will need 527.52 cubic centimeters of wax. You divide the diameter by 2 ten multiply that number by itself to get the circumference. From there you multiply it by 12 then by 4 and there's your answer
let Leo's speed = x mile/hr
so Ethan speed = (x + 6) miles per hour
Distance = Speed × Time
so distance traveled by Leo in 2 hours = x × 2 = 2x
and distance traveled by Ethan in 1.5 hours = 1.5( x + 6 ) = 1.5x + 9
since they meet on the path , After Ethan has ridden 1.5 hours and Leo has ridden 2 hours , so together the have traveled on complete path that is 65 miles.
⇒ distance traveled by leo in 2 hours + distance traveled by Ethan in 1.5 hours = 65
⇒ 2x + 1.5x + 9 = 65
⇒ 3.5x = 56
⇒ x = 16
Hence Leo's speed = x miles/hr = 16 miles/hour
and Ethan's speed = (x + 6) miles/hr = 16 +6 = 22 mile/hour
