Suppose a chord of a circle is 16cm and is 12 cm from the center of the circle. find the radius.

The radius of the circle is approximately 14.42cm

Step-by-step explanation:

If the length of the chord is 16cm and it is 12cm from the center of the circle.

it means it forms 2 right angles while dividing the center of the chord, to the center of the circle, and at right angle. Length of the adjacent then become 16/2 = 8cm

To calculate the radius which forms hypothenus of the right angle triangle, we use Pytagoras Theorem

Say = + , where r is the radius of the circle

= 144 + 64

= 208

r =

r = 14.4222

r ≈ 14.42

step-by-step explanation:

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.