The circumference of the circle is actually the perimeter ( length of the boundary ) of the circle . And a part of the circle which lies between two distinct points on the circumference of the circle is called an arc . If the length of the arc is less than half the circumference , it is called minor arc and remaining portion which is more than half of the circle ( but natural ) is called major arc .
When these two points , which make the arc are joined separately to the centre of circle , these arms make angle at the centre . This is called the angle subtended by the arc at the centre of the circle .
There is a beautiful logical relation exists between arc length and the angle , the arc makes ( subtends ) at the centre of the circle . This relation is as under , the wholle circle subtends an angle of 360 degree at the centre . Half the circumference subtendr 360 / 2 ie 180 degree at the centre . The logical relation becomes Arc Length = Circumference × angle in degrees it ( the arc ) subtends at the centre of the circle / 360 degree . So the answer is very simple :- The Arc Length = 36 × 90 / 360 or 9 units ( may be centimetres or metres or inches , feet , yards , etc ) . Which is definitely length of the minor arc . The length of the major arc ( remaining portion of the circumstance ) is 36 - 9 = 27 units . Hence the required answer of the sum is 9 units .
From the relation, d is joint proportionaly with r and t.
Thus,d = krt.
Using the first set of given, we could calculate for k.135 = k(45)(3)k = 1
Using the computed value of k.d = krtr = d/ktr = (189)/(1)(3.5) = 54 mph.
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Answer:
First day: 45x +20y = 875
Second day: 25x + 40y = 775
Adult ticket price: $15
Step-by-step explanation:
See paper attached. (:
There'll be 5 parents that'll go to the museum
Let the number of parents that will go to the museum be represented by x.
Based on the information given, the equation to use will be:
15/75 = x/25
Cross multiply
75 × x = 15 × 25
75x = 375
Divide both side by 75
75x/75 = 375/75
x = 5
Therefore, there'll be 5 parents that'll go to the museum.
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Tangent always meets radius at 90° angle.
Angle ABC = 90° so Pythagoras' theorem applies.
r² + 4² = (r+2)²
r² + 16 = r² + 4r + 4
12 = 4r
r = 3
