Answer:
5 to the 2cube
Step-by-step explanation:
5x5 you take 5 and multiply 5 to get your answer
Answer:
Area of circle = 200.96 units²
Step-by-step explanation:
The formula to find the area of a circle is: πr², where r is the radius (which is half of the diameter)
So the diameter is 16 and of 16 is 8, which is the radius.
Sub it into the formula of a circle and you would get the area of a circle.
3.14 x 8²
Use calculator
Area of circle = 200.96 units²
Answer:
1.
2.
Step-by-step explanation:
Q1. Given circle k(O).
The measure of the arc FE is 56°, this means the measure of the central angle FOE is 56° too.
Consider triangle FOE. This triangle is isosceles triangle with the base FE because FO = EO as radii of the circle.
Angles adjacent to the base of the isosceles triangle are congruent, so
The sum of the measures of all interior angles in the triangle FEO is always 180°, then
Angle FDE is inscribed angle subtended on the arc FE, hence its measure is the half of the central angle FOE:
Since FD = ED, thriangle FDE is isosceles triangle with congruent angles adjacent to the base FE. Then
Q2. If the measure of the arc RU is 50°, then the measure of the central angle ROU is 50° too.
If the measure of the arc UT is 30°, then the measure of the central angle TOU is 30° too.
Triangle ROU is isosceles triangle because RO = UO as radii of the circle. Angles adjacent to the base of the isosceles triangle are congruent, so
The sum of the measures of all interior angles in the triangle ROU is always 180°, then
Angle UST is inscribed angle subtended on the arc UT and has the measure that is half the measure of the central angle TOU:
given: s is the midpoint of rt
definition of midpoint: rs st
given: st xg
transitive property of congruence: rs xy
Using the Pythagorean Theorem:
x^2 = 61^2 - 60^2
x^2 = 3721 - 3600
x^2 = 121
x = SQRT(121)
x = 11 cm.