When we divide the figure in four parts, we obtain four squares with its sides of 5 centimeters of lenght, with quarter circles (two) in each one of them. The limits of the shadded area are arcs of cirncunference
To calculate the area of the shadded part, we must choose one square of 5cmx5cm and divide it in 3 sectors:
a: the area below the shaded area.
b: the area above the shaded area.
c: the shaded area.
The area of the square (As) is:
As=L²
As=(5 cm)²
As=25 cm²
The area of a circunference is: A=πR² (R:radio), but we want the area of the quarter circle, so we must use A=1/4(πR²), to calculate the area of the sectors a+c:
A(a+c)=1/4(π(5)²)
A(a+c)=25π/4
The area of the sector "b" is:
Ab=As-A(a+c)
Ab=25-25π/4
Ab=25(1-π/4)
The area of the sector a+b, is:
A(a+b)=2Ab
A(a+b)=2x25(1-π/4)
A(a+b)=50(1-π/4)
Then, the shadded area (Sector c) is:
Ac=As-A(a+b)
Ac=25-50(1-π/4)
Ac=25-(50-50π/4)
Ac=25-50+50π/4
Ac=(50π/4)-25
Ac=(25π/2)-25
Ac=25(π/2-1)
The area of each shaded part is: 25(π/2-1)
To calculate the perimeter of a shaded part, we must remember that the perimeter of a circunference is: P=2πR. If we want the perimeter of a quarter circle we must use: P= 2πR/4. But there is two quarter circles in the square of 5cmx5cm, so the perimeter of the shaded area is:
P=2(2πR/4)
P=4πR/4
P=πR
P=5π
The perimeter of each shaded part is: 5π
Answer:
480 cm²
Step-by-step explanation:
New side lengths:
80% of 30 cm = 0.8% × 30 cm = 24 cm
80% of 25 cm = 0.8 × 25 cm = 20 cm
area = length × width
area = 24 cm × 20 cm
area = 480 cm²
Answer:
(B) 25%
Step-by-step explanation:
40 - 30 = 10
A $10 markdown rate was placed on the trousers.
10/40 = 1/4
That means a 1/4, or 0.25 (25%), markdown rate was placed on the trousers.
Hope it helps (●'◡'●)
An equation is formed of two equal expressions. Janes should multiply both sides of the equation by (y²-1).
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation that is given is an equation with a mixed fraction, therefore, the denominator with the highest power should be multiplied on both sides of the equation. The equation that is given to us
As we can see in the equation that there are 2 denominators, which are,
In the two of the expressions that are stated above the expression (y²-1) is of a higher power.
Hence, Janes should multiply both sides of the equation by (y²-1).
Learn more about Equation:
brainly.com/question/2263981
Answer:
18 cm
Step-by-step explanation:
find the hypotenuse using 30, 60, 90 rule then divide it by 2 to find the radius
P.S. posting all of the RSM questions aren't you
