The diagram shows a sector of a circle radius 11cm.
show that perimeter of the sectors is greater that 47.5cm

Hence the perimeter of the sector is 25.9 cm.

The perimeter of a sector with a central angle (θ) is given by:

Perimeter = (θ/360) × 2πr

Where r is the radius of the circle and θ is the central angle.

From the diagram attached, θ is 135°. Hence, the area of the sector is:

Perimeter = (θ/360) × 2πr

Perimeter = (135/360) × 2π(11)

Perimeter of sector = 25.9 cm

Hence the perimeter of the sector is 25.9 cm.

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The perimeter of the sectors is greater than 47.5 cm

Step-by-step explanation:

step 1

Find the circumference of the complete circle

The circumference of the circle is equal to

we have

substitute

step 2

Find the length of the arc of the sector

we know that

The circumference subtends a central angle of 360 degrees

so

using proportion

Find out the length of the arc by a central angle of 135 degrees

step 3

Find the perimeter of the sectors

The perimeter is equal to

substitute

assume

therefore

The perimeter of the sectors is greater than 47.5 cm

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

u bout ugly as   a mf

step-by-step explanation: lol