Answer:
55 degrees
Step-by-step explanation:
Given that a circle and inside two chords with same arc length.
We are to find the angle between the two chords.
Given that two arcs subtend angle 125 degrees at the centre.
Let us join the two ends of chords to make the figure as a triangle inside a circle.
The triangle is isosceles as two arcs and hence chords are equal.
By central angle theorem we have the two equal angles as 1/2 (125) = 62.5
Hence we have a triangle with two equal angles 62.5 and another angle 1.
By triangle sum of angles theorem
angle 1+62.5+62.5 = 180
Hence angle A = 180-62.5-62.5 = 55 degrees.
Answer:
Step-by-step explanation:
66%
Answer:
The statements that must be true are:
XY and JK form four right angles ⇒ B
XY ⊥ JK ⇒ C
JP = KP ⇒ E
m∠JPX = 90° ⇒ F
Step-by-step explanation:
From the given figure
∵ Line XY is the perpendicular bisector of the line segment JK
→ That means line XY is the line of symmetry of the line segment JK
∴ XY ⊥ JK ⇒ C
∵ XY ∩ JK at point P
∴ P is the midpoint of JK
∵ XY ⊥ JK
∴ ∠JPX, ∠KPX, ∠JPY, and ∠KPY are right angles
∴ XY and JK form four right angles ⇒ B
∵ The measure of the right angle is 90°
∴ m∠JPX = m∠KPX = m∠JPY = m∠KPY = 90°
∴ m∠JPX = 90° ⇒ F
∵ P is the midpoint of JK
∴ JP = KP ⇒ E
Answer:
907.46 mm2
Step-by-step explanation:
Area of circle = (¶d^2)/4
d = 34 mm
Therefore
Area A = (3.14 x 34^2)/4
= 907.46 mm2
This is the expression simplified:
