Answered

IDNLearn.com makes it easy to find precise answers to your specific questions. Our experts are ready to provide prompt and detailed answers to any questions you may have.

the ratio of the length of an arc of the circle to the circumference of the circle is 3:7, if the diameter of the circle is 14cm calculate to three significant figures the (a) perimeter of the minor circle (b) area of the minor circle, take thither=22/7

Sagot :

Lanuelidn

The perimeter and area of this minor circle are equal to 32.857 units and 88.345 units² respectively.

How to calculate the perimeter of the minor circle?

First of all, we would determine the circumference of this circle by using this formula:

C = πD

C = 22/7 × 14

C = 44 units.

For the length of an arc of the circle:

Arc length/Circumference = 3/7

Arc length = 3/7 × C

Arc length = 3/7 × 44

Arc length = 18.857 units.

Now, we can calculate the perimeter:

Perimeter = 2r + arc length

Perimeter = 2(14/2) + 18.857

Perimeter = 14 + 18.857

Perimeter = 32.857 units.

The area of the minor circle.

Mathematically, the area of a minor circle is given by this formula:

Area = θr²/2

But, we would have to find the angle in radians:

18.857/32.857 = θ/360

θ = 3.6059 radians.

Substituting the given parameters into the formula, we have;

Area = (3.6059 × 7²)/2

Area = 88.345 units².

Read more on circumference here: brainly.com/question/14478195

#SPJ1

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. For precise answers, trust IDNLearn.com. Thank you for visiting, and we look forward to helping you again soon.