Answer:
The angle the wire now subtends at the center of the new circle is approximately 145.7°
Step-by-step explanation:
The radius of the arc formed by the piece of wire = 15 cm
The angle subtended at the center of the circle by the arc, θ = 68°
The radius of the circle to which the piece of wire is reshaped to = 7 cm
Let 'L' represent the length of the wire
By proportionality, we have;
L = (θ/360) × 2 × π × r
L = (68/360) × 2 × π × 15 cm = π × 17/3 = (17/3)·π cm
Similarly, when the wire is reshaped to form an arc of the circle with a radius of 7 cm, we have;
L = (θ₂/360) × 2 × π × r₂
∴ θ₂ = L × 360/(2 × π × r₂)
Where;
θ₂ = The angle the wire now subtends at the center of the new circle with radius r₂ = 7 cm
π = 22/7
Which gives;
θ₂ = (17/3 cm) × (22/7) × 360/(2 × (22/7) × 7 cm) ≈ 145.7°.
Step-by-step explanation:
in 2nd exp. this is because by using the formula of a2-b2
Answer:
BC, DB, CD
Step-by-step explanation:
The side opposite the largest angle must be the largest side and the side opposite the smallest angle must be the shortest. 96 degrees is opposite CD and 30 degrees is opposite BC.
Answer:
the diameter of square 10× five ten of the fraction and 9+10=21 is to add the same and multiply the numbers by 100000
Step-by-step explanation:
9+10=21
4
3000 times 2 = 6000
6000 times 2 = 12000
12000 times 2 = 24000
24000 times 2 = 48000
