Answer:
number and operations
Step-by-step explanation:
In this item, we are given with the radius equal to 22 cm.
This measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60° and equal to the hypotenuse times (1/2)(√3)
If we let s be the side of the triangle then,
s/2 = r(1/2)(√3)
Multiplying the equation by 2,
s = r√3
Substituting,
s = (22 cm)(√3) = 22√3
The area of the equilateral triangle is computed through the equation,
A = (√3 / 4)(s²)
Substituting,
<em> A = (√3 / 4)(22√3)² = 628.7 cm²</em>
Therefore, the answer to this item is the first choice.
Answer:
x = 11
Step-by-step explanation:
Answer:
Arc length = 8π
Step-by-step explanation:
As we know that -
θ = arc length / radius (r) ...............(i)
As given in the question -
<u>θ = 90°, arc length = 2π,</u>
Put values in equation (i)-
90° = 2 π / r
r = 2 π / 90°
r = 2 × 180°/ 90°
r = 4
Now Circumference of circle = 2 π r
<em>= 2π × 4</em>
<em> </em><em> = 8π</em>
Hence arc length of circle is 8π.
Answer:
√41
Step-by-step explanation:
4^2+5^2
16+25=41
√41