Answer:
132 degrees
Step-by-step explanation:
To solve this problem, you need to know a couple of rules
1) Inscribed angle theroem: when an angle is inscribed in a circle and touches the other end (as opposed to ending at the diameter of the circle), the measure of this angle is half of the measure of the arc.
2)Angles of a quadrilateral shape add up to 360 degrees.
3) The angles inside a circle and the angles of the circles arclength adds up to 360 degrees.
So first, solve angle S with inscribed angle theorem. 126/2 = 63
Then, use the rule that all arc angles in a circle add up to 360 degrees to find the arc angle from Q to S. 360-90-126 = 144. Now find angle P with inscribed angle theorem by doing 144/2 = 72.
Now, use the rule that all angles in a quadrilateral add up to 360 to find R. 360-93-72-63 = 132.
Let me know if this doesn't work, I'll look at it again.
Fo sides, a,b,c
where c is the longest
c<a+b
or else you won't have a triangle
we want the longest side
this mystery side is c
other ones are a and b
c<6+8
c<14
the next largest whole number is 13
answer is 13 inches
area of yard = 41 x 60 = 2460 square feet
walk is 4 feet wide
41-4 =37, 60-4 = 56
37*56 = 2072
2460-2072 = 388
area of walk is 388 square feet
Answer:
7850 square units
Step-by-step explanation:
According to the question;
- Circumference of a circle is 314 units;
We are required to find the area of the circle;
- First, we need to ask ourselves how we get the perimeter of a circle;
Perimeter of a circle = pi × D or 2 pi r
Therefore;
Rearranging the formula;
D = Perimeter ÷ pi
Taking pi to be 3.14
Then;
Diameter = 314 units ÷ 3.14
= 100 units
But, radius = Diameter ÷ 2
= 100 units ÷ 2
= 50 units
We also need to know how we calculate the area of a circle;
Area of a circle = pi×r²
Therefore;
Taking pi as 3.14
Then, Area = 3.14 × 50²
= 7850 square units
Thus, the area of the circle is 7850 square units
