contestada

The figure is made up of two shapes, a semicircle and a rectangle. Giving away 50 points plus brainliest if correct and certified answer

What is the exact perimeter of the figure?

6π+12 mm

3π+12 mm

3π+18 mm

6π+18 mm

The figure is made up of two shapes a semicircle and a rectangle Giving away 50 points plus brainliest if correct and certified answer What is the exact perimet class=

Respuesta :

JcAlmighty
The answer is P = 3π + 12 mm

The perimeter (P) of the figure is the sum of the perimeter of the rectangle (P1) without the longer side (according to the image) and half of the perimeter of the circle (P2):
P = P1 + 1/2 P2

The perimeter of the rectangle with two sides a and one side b is:
P1 = 2 * a + b
a = 3 mm
b = 6 mm
P1 = 2 * 3 + 6 = 6 + 6 = 12 mm

The perimeter of the circle with radius r = b/2 is:
P2 = 2 π r
r = b/2 = 6/2 = 3 mm
P2 = 2 π * 3 = 6π mm

So, the total perimeter is:
P = P1 + 1/2 P2 = 12 mm + 1/2 * 6π mm = 12 mm + 3π mm
P = 3π + 12 mm
calculista

Answer:

[tex](3 \pi+12)\ mm[/tex]

Step-by-step explanation:

we know that

The perimeter of the figure is equivalent to the perimeter of a rectangle plus the perimeter of semicircle minus the length side of [tex]6[/tex] mm

step 1

Find the perimeter of rectangle

the perimeter of rectangle is equal to

[tex]P=2(b+h)[/tex]

we have

[tex]b=6\ mm[/tex]

[tex]h=3\ mm[/tex]

substitute

[tex]P=2(6+3)=18\ mm[/tex]

step 2

Find the circumference of semicircle

the of circumference of semicircle is equal to

[tex]C=\frac{1}{2}\pi D[/tex]

we have

[tex]D=6\ mm[/tex]

substitute

[tex]C=\frac{1}{2}\pi (6)=3 \pi\ mm[/tex]

step 3

Find the perimeter of the figure

[tex]18\ mm+3 \pi\ mm-6\ mm=(3 \pi+12)\ mm[/tex]


Otras preguntas