A circular fence is being placed around a tree. The diameter of the fence is 4 feet. How much fence is used around the tree? Leave your answer in terms of pi. A 8π ft

B 4π ft

C 2π ft

D.16π ft

8π

Step-by-step explanation:

If we are given the diameter of this circular fence, then we can solve for the radius. Just take the diameter of 4 and divide by 2 which is 2.

The circumference of a circle is 2πr²

Just plug in the variables and you get 2π(2)² which is 8π

Hope this helps! :)

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

-81 -56 -27 0 81

step-by-step explanation: