Answer:
its 79
Step-by-step explanation:
Answer:
6.71cm
Step-by-step explanation:
length of chord = 2× √( radius^2 - distance^2) Pythagoras theorem
= 2 × √(4.5^2 - 3^2)
= 2 × √11.25 = 6.71cm
Answer:
°
Step-by-step explanation:
1. Approach
In order to solve this problem, one must first find a relationship between arc (a) and arc (c). This can be done using the congruent arcs cut congruent segments theorem. After doing so, one can then use the secants interior angle to find the precise measurement of arc (a).
2. Arc (a) and arc (c)
A secant is a line or line segment that intersects a circle in two places. The congruent segments cut congruent arcs theorem states that when two secants are congruent, meaning the part of the secant that is within the circle is congruent to another part of a secant that is within that same circle, the arcs surrounding the congruent secants are congruent. Applying this theorem to the given situation, one can state the following:
3. Finding the degree measure of arc (a),
The secants interior angle theorem states that when two secants intersect inside of a circle, the measure of any of the angles formed is equal to half of the sum of the arcs surrounding the angles. One can apply this here by stating the following:
Substitute,
Simplify,
M+t=9, m=3, t=c/4
<span>t=9-m, t=9-3=6 </span>
<span>6=c/4 </span>
<span>c=24 </span>
<span>So there were 24 pieces of cake in total</span>
They could have the same measurements in base and height but they don't have to be the same. Lets take an example. Let's say the area was 80 units squared. The base could be 20 and the height could be 4 units. However, it could also have a base of 40 and a height of 2 unites. The base and height could be different, but the area can stay the same in certain situations