I need so much help with these could you help me?

Mathematics

1 answer:

juin [17]2 years ago

8 0

Answer:

Step-by-step explanation:

In ΔBCA and ΔDCA,

BC ≅ CD Given

∠BCA ≅∠DCA Given

AC ≅ AC Reflexive property

ΔBCA ≅ ΔDCA S A S congruent

∵ BA ≅ AD CPCT {Corresponding part of congruent triangle}

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two arcs of concentric circles are intercepted by the same central angle. the resulting arc length of the arc of the larger circ

Bond [772]

the complete question in the attached figure

Let
A°-----------> the same central angle

For the larger circle
length of larger circle=2*pi*r-------> 2*pi*12-----> 75.36 m

360° (full circle) has a length of------------> 75.36 m
A°-----------------------------------> 16 m
A°=(16)*360/75.36--------> A=76.43°

For the smaller circle
length of smaller circle=2pi*r-------> 2*pi*7.5-----> 47.1 m

360° (full circle) has a length of------------> 47.1 m
76.43°-----------------------------------> X
X=76.43*47.1/360-----> X=10 m ----> length arc of the smaller circle

the answer is
the length arc of the smaller circle is 10 m