Answer:
113
Step-by-step explanation:
area of a circle is 3.14*r^2
r=d/2 r=6
3.14*36=113
You need to give a little more detail. I don't understand what you are asking.
Option A
-x + 6y = 42 is the standard form
<u>Solution:</u>
Given that we have to write
in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Given equation is:

Let us convert the above equation into standard form


Make the denominator same in R.H.S

Solve the above equation


Move 6 from R.H.S to L.H.S

Bring all the terms to one side, leaving only constant on R.H.S

The above equation is of form Ax + By = C
Thus option A is correct
1. Length of CD
Considering Triangle CDB
Angle DCB = 30
Using trigonometric ratio
Cos θ = adjacent/hypotenuse
Cos 30 = CD/CB
Cos 30 = CD/6
CD = 6(Cos 30)
= 5.196 cm
2. The area of triangle ABC
area of Δ ABC = ares of Δ ACD + Area of DCB
Area of Δ DCB
= 1/2 × 3× 5.195
= 7.79 cm²
length of AD
Tan 60 = AD/5.196
AD= 8.999
≈ 9 cm
Area of of ADC
= 1/2 × 9 × 5.196
= 23.382 cm²
Therefore area of Δ ABC
= 23.382 cm² + 7.79 cm²
= 31.172 cm²