1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
defon
2 years ago
10

A chord is 15 cm long. It is 9 cm from the center of the circle. What is the radius of the circle?

Mathematics
1 answer:
irakobra [83]2 years ago
5 0

Answer:

<h2>11.72cm</h2>

Step-by-step explanation:

Given a chord of distance of 15cm, if it is 9cm from the center of a circle, this means that the 9cm length will be projecting from the centre of the circle perpendicular to the chord and passing through its centre.

Since the radius of a circle is a line that is drawn from the centre of a circle to ts circumference, the set up will form a right angles triangle within the circle with the hypotenuse as the radius and the other two sides as the opposite and adjacent respectively. Using the Pythagoras theorem to get the length of the radius (hypotenuse);

hyp² = opp² + adj²

Let the opposite be the 9cm length

Adjacent will be half of the chord length = 15/2 = 7.5cm

Substituting this values into the formula we will have;

hyp² = 9² + 7.5²

hyp² = 81+56.25

hyp² = 137.25

hyp² = √137.25

hyp = 11.72

<em></em>

<em>Hence the radius of the circle is approximately 11.72 cm long</em>

You might be interested in
Alice and Dakota are packing gift boxes. Alice has already packed 21 additional boxes and is packing 8 additional boxes per hour
aev [14]
Dakota would have 52 boxes after 4 hours and Alice would have 52 boxes with a total of 104 boxes
5 0
1 year ago
Which measure of center best represents the set of data? $6, $12, $15, $12, $12, $20, $12, $13 *
madreJ [45]

Answer:

The median, because the data is skewed

Step-by-step explanation:

Mean = 12.75

Mode = 12

Median = 12

8 0
2 years ago
Write "six times 3 minus 3" as an expression.
777dan777 [17]

Answer:

6(3)-3

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Of a number is what percentage of that number?<br>​
earnstyle [38]

Answer:

13/10 = 130%

13/10 x 100

= 130%

7 0
3 years ago
Choose the best description for graphing y = 3x - 5 using the slope and the y-intercept.
expeople1 [14]
3 is the slope, (0,-5) is the y-intercept of the graph.

8 0
2 years ago
Other questions:
  • William runs at a constant speed of 8 miles per hour. Running at this constant speed, it takes William 75 seconds to run from hi
    12·1 answer
  • What two numbers multiply together to equal -32 and add together to equal positive four
    5·2 answers
  • Please help I will reward point and hearts
    14·1 answer
  • Jane borrowed a total of 23000 from 2 different banks to start a Business One bank charge the equivalent of 5% simple interest a
    13·1 answer
  • Find the measure if the missing angle. <br><br> Answer: a=
    12·2 answers
  • Quadrilateral ABCD is graphed on a coordinate plane. Three of its vertices are at A (2.6), Point B(6,8), and Point C(8,4). Which
    5·1 answer
  • What is the value of x ?
    15·1 answer
  • I WILL GIVE BRAINLY
    9·1 answer
  • What is the value of the expression below when w=3?<br><br><br>6w-9
    10·1 answer
  • Does anyone know how to simplify this -4i(2+3i)???
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!