Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area: 120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters arrowboth radius: 4.5 meters arrowboth diameter: 6 meters arrowboth radius: 2 meters

A) ,

B) ,

C) ,

D) ,

E) ,

F) ,

Step-by-step explanation:

we know that

The area of a circle is equal to

solve for r

Verify each case

case A)

substitute in the formula

case B)

substitute in the formula

the diameter is equal to

case C)

substitute in the formula

the diameter is equal to

case D)

substitute in the formula

case E)  

substitute in the formula

case F)  

substitute in the formula

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.