The triangle has a 60° angle, and the two adjacent sides are 12 and "12 times the square root of 3".
So, the area of the triangle, Δ = sq. units.
Now, we have to find the radius of the circle with the same vertex as a center, if the arc in the triangle bisects the area of the triangle.
So, if the radius of the circle is r units, then
⇒ 0.5238 r² = 54
⇒ r² = 103.092
<u>⇒ r = 10.15 units. (Answer)</u>
They can’t cancel each other and if you were to keep going it would give an incorrect fraction for solution :)
The best indication of the significance of the Kuiper belt lies in its multiple connections to other aspects of the Solar system. The dust in the Zodiacal cloud, the rocks in the meteor streams, the nuclei of comets, the Centaurs, perhaps also the irregular moons of the planets and the Trojans that lead and trail planets in their orbits, are all related to the parent population in the Kuiper belt. Further afield, the dusty debris disks of other stars are likely produced by collisional shattering of parent bodies in unseen Kuiper belts about them. Because of these many connections, Kuiper belt science has already had significant impact on the study of the contents, origin and evolution of the Solar system, and on understanding the Solar system in the context set by other stars.
Use the information you are given. We know the total amount of tickets sold was 340 and that 95 of them were child tickets. If you subtract this, you’re left with 245. It now says the number of senior tickets was less than the child tickets so as a maximum that amount would be 94. 245-94=151 and that’s your final answer
