Answer:
A) 3π/4
B) 9π/7
C) 11π/6
Step-by-step explanation:
In the picture attached, the points are shown
Point A is between π/2 radians (90°) and π radians (180°). The only possible option is 3π/4
Point B is between π radians (180°) and 3π/2 radians (270°). The only possible option is 9π/7
Point C is between 3π/2 radians (270°) and 2π radians (360°). The only possible option is 11π/6
The parts of a circle are the r<em>adius, diameter, circumference, arc, chord, secant, tangent, sector and segment.</em>
Radius:
The distance from the center to any point on the circle.
Diameter:
The distance across the circle through the center point.
Circumference:
The distance around a circle.
Arc:
arcs in the same circle that have exactly one point in common. measure of arc divided by 360 multiplied by the circumference. the length of an arc. semicircle. an arc that is half of a circle; always measures 180 degrees.
Chord:
a line segment that connects two points of a circle.
Secant:
A secant is a line that intersects a circle in two points.
Tangent:
A tangent is a line that intersects the circle in exactly one point.
Sector:
region bounded by an arc of a circle and the two radii to the arc's endpoints. - A sector is like a "pizza slice" of the circle. It consists of a region bounded by two radii and an arc lying between the radii.
Segment:
A segment or length of a segment with one endpoint at the center of the circle.
Answer:
(Angle DBE) ∠DBE = 50°
Step-by-step explanation:
It is crucial for us to be able to interpret plane geometry related question in order to solve them efficiently.
From the question given; we have analysed and come up with a diagrammatic expression and mathematical solution that clearly explains the question .
Given that
BC and DF are parallel lines.
B is a point on AD
B is a point on AD
BD=BE
work out angle DBE and give a reason.
The diagram can be seen in the attached image below.
SInce ∠BD = ∠DE
Then triangle BDE is an isosceles triangle. In an isosceles triangle ; two sides are equal in length.
The sum of angles in an isosceles triangle = 180° (sum of angles in a triangle)
So;
∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)
From the diagram; we will see that ∠ABC = ∠BDE (corresponding angle)
Since ; ∠ABC is not given and which is needed to solve this question.
Let's just assume that ∠ABC is 65° , the main thing is to be able to interpret and understand the concept of the question.
Now;
Since
∠ABC = ∠BDE
∠ABC = 65°
∠BDE = 65°
Again;
∠BDE + ∠BED + ∠DBE = 180° (sum of angles in a triangle)
∠BDE will be aso equal to ∠BED ; this is because since the length of the opposite sides of the isosceles triangle are equal, their angles will also be equal.
Therefore;
65° + 65° + ∠DBE = 180° (sum of angles in a triangle)
130 ° + ∠DBE = 180° (sum of angles in a triangle)
∠DBE = 180° - 130°
∠DBE = 50°
