The
purple line is tangent. Tangent line intersects a circle in only 1 point
The
yellow dot is the point of tangency. It is the point where tangent line touches the circle
The
light blue line is secant. Secant line intersects a circle in 2 points
The
red line is the radius. Radius is the distance from center to the outer rim of the circle.
The
green line is the diameter. It is the line passing through the center of a circle. It measures twice the radius
The
gray line is the chord. Chord is the line whose endpoints lie on the circle.
Arc AB is a minor arc
Arc ABCD is a major arc
Answer:
180=x+60+100
Step-by-step explanation:
Because of vertical angles the angle beside 60 is 100 and 100+60+x would equal 180 degrees
Statement Problem: P, Q and R are three buildings. A car began its journey at P, drove to Q, then to R and returned to P. The bearing of Q from P is 058° and R is due east of Q. PQ = 114 km and QR = 70 km. ( Draw a clearly labelled diagram to represent the above information.
Solution:
Answer:
0.76m²
Step-by-step explanation:
In the above question, we are given the following information.
Radius = 0.4m
Height = 0.45m
To solve this question, The umbrella is CONICAL in shape and it has no BASE, we would be finding the lateral surface area of a cone. Since we are given height and radius :
Lateral Surface Area of a cone =
πr√(h² + r²)
= π × 0.4√(0.45² + 0.4)
= 0.7566m²
≈ Approximately = 0.76m²
Therefore, the amount of fabric needed to manufacture this umbrella is 0.76m²
∠GHJ and ∠RST are complementary
⇒ ∠GHJ and ∠RST = 90°
And ∠RST and ∠ABC are supplementary
⇒ ∠RST and ∠ABC = 180°
Also, ∠GHJ = x°
⇒ ∠RST = 90° - x°
⇒ ∠ABC = 180° - ∠RST
⇒ ∠ABC = 180° - (90° - x°)
⇒ ∠ABC = 90° + x°