Complete each statement from the information given and the triangle criterion you used. if the triangles cannot be shown to be congruent, leave the box for the second triangle blank and choose for reason “cannot be determined.” carbon - regular hexagon. ∆can ≅ ∆ by

∆CAN ≅Δ BRO by SSS congruence rule.

Step-by-step explanation:

It is given that CARBON is a regular polygon.

Since all sides of a regular polygon are equal.

Therefore, CA=AR=RB=BO=ON=NC   (1)

In ΔANO and ΔORA

∠ANO=∠ORA [each 90°]

OA=OA [same]

NO=AR  [from (1)]

∴ ΔANO ≅ ΔORA by RHS congruence rule

⇒NA=OR  [by CPCT]

Now in ∆CAN and Δ BRO(2)

CN=OB=CA=RB[from (1)]

NA= OR  [from (2)]

∴∆CAN ≅Δ BRO by SSS congruence rule.

answer

explanation

the area of a circle is calculated using the formula

or

we can use any of the above formulae to calculate the required. preferably, let us use the latter since the diameter is

we substitute the diameter into the formula to get:

this is the exact value for the area of the circle.

the correct answer is a