Answer:
314 ft²
Step-by-step explanation:
Area of a circle is: ![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
'r' is the raduis.
We are given the radius of 10 ft.
Using 3.14 for pi:
![A= 3.14 * 10^2\\\rightarrow 10^2 = 100\\A=3.14*100\\\huge{\boxed {A=314}}](https://tex.z-dn.net/?f=A%3D%203.14%20%2A%2010%5E2%5C%5C%5Crightarrow%2010%5E2%20%3D%20100%5C%5CA%3D3.14%2A100%5C%5C%5Chuge%7B%5Cboxed%20%7BA%3D314%7D%7D)
The area of the circle should be 314 ft².
(a) m∠a = 100°
(b) m∠b = 80°
(c) m∠c = 100°
Solution:
Given 3rd and 4th street are parallel lines and King Ave is a transveral line.
<em>Sum of the adjacent angles in a straight line = 180°</em>
⇒ m∠a + 80° = 180°
⇒ m∠a = 180° – 80°
⇒ m∠a = 100°
∠c and ∠a are vertically opposite angles.
<em>If two lines are intersecting, then the vertically opposite angles are congruent.</em>
⇒ ∠c ≅ ∠a
⇒ m∠c = m∠a
⇒ m∠c = 100°
<em>If two parallel lines are cut by a transversal, then the corresponding angles in the same side of the transversal are congruent.</em>
80° and angle b are corresponding angles.
⇒ m∠b = 80°
Hence m∠a = 100°, m∠b = 80° and m∠c = 100°.
Answer:
The correct answer is A.
Remember summetric means: made up of exactly similar parts facing each other or around an axis; symmetrical. And the peak or highest part is on the 3.
Hope it helps!!