Acircle is inside a square as shown.

what is the area of the shaded region?

use 3.14 for π .

enter your answer as a decimal in the box.

m²

The area of the shaded region is 13.76 m² .

Step-by-step explanation:

Formula

Area of the square = a²

Where a is the side of the square and r is the radius of the circle .

                  = 4m

π = 3.14

Thus

Shaded area = Area of the square - Area of the circle

Putting all the values in the formula

Shaded area = 8² - 3.14 × 4 × 4

                      = 64 - 50.24

                      = 13.76 m²

Therefore the area of the shaded region is 13.76 m² .

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.