(a) 22cm
(b) 44cm
(c) 88cm
(d) 11cm
This question is about the length of the arc of a sector of a circle. The circle has a radius of 14 cm and the central angle is 90 degrees. There are four answer choices: 22 cm, 44 cm, 88 cm, and 11 cm.
The correct answer is 22 cm.
We can find the length of the arc by following these steps:
- Calculate the circumference of the circle.
- Find the ratio between the sector’s central angle θ and 360 degrees.
- Multiply the circumference of the circle by the ratio you just found.
Here’s how this works for the problem :
- The circumference of the circle is
c=2πr
c=2π(14cm)
c=28πcm
- The ratio between the sector’s central angle θ (which is 90 degrees) and 360 degrees is
sector angle =θ/360∘
sector angle = 90∘/360∘
sector angle =1/4
- The length of the arc is
=c×(θ/360∘)
=28πcm×(1/4)
=7πcm
Since π is an irrational number, we can’t get an exact answer in centimeters. However, in these type of problems, it’s common practice to assume the circle is perfectly round and use 22/7 for π instead.
Using 22/7 for π,
we get an arc length of
Arc Length =7×(22/7)
Arc Length =22cm.
This is the answer choice (a).
Hello, yeah this paragraph is actually nice and I have learned lot
of things from it on the topic of blogging. thanks.
I always used to study article in news papers but now
as I am a user of internet therefore from now I am using net for
content, thanks to web.
It’s actually a great and helpful piece of information. I
am happy that you simply shared this helpful information with us.
Please stay us informed like this. Thank you for sharing.
Aw, this was an extremely nice post. Taking the
time and actual effort to make a great article… but what can I say… I put things
off a lot and never manage to get anything done.
Hello very cool web site!! Guy .. Excellent .. Amazing ..
I will bookmark your web site and take the feeds additionally?
I am happy to seek out a lot of useful info here in the submit, we need work out more techniques in this regard, thank
you for sharing. . . . . .
Aw, this was a really nice post. Spending some time and actual effort
to create a superb article… but what can I say… I put things off a lot and
never seem to get nearly anything done.
I’m truly enjoying the design and layout of your
blog. It’s a very easy on the eyes which makes it much more pleasant for me to
come here and visit more often. Did you hire out a developer
to create your theme? Exceptional work!