answersLogoWhite

0


Best Answer

Length of arc = angle of arc (in radians) × radius of circle

With a ratio of 7:8 the area of the sector is 7/8 the area of the whole circle.

This is the same as saying that the circle has been divided up into 8 equal sectors and 7 have been shaded in.

Dividing the circle up into 8 equal sectors will give each sector an angle of arc of 2π × 1/8

7 of these sectors will thus encompass an angle of arc of 2π × 1/8 × 7 = 2π × 7/8 = 7π/4

Thus the length of the arc of the sector is 7π/4 × radius of the circle.

---------------------------------

Alternatively, it can be considered that as 7/8 of the area is in the sector, the length of the arc is 7/8 the circumference of the circle = 7/8 × 2π × radius = 7π/4 × radius.

User Avatar

Wiki User

โˆ™ 2018-03-24 07:26:32
This answer is:
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards
3.74
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
1200 Reviews

Add your answer:

Earn +20 pts
Q: If the ratio of a circle's sector to its total area is 78 what is the measure of its sector's arc?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Geometry

What is the ratio of triangles to circles?

It is the number of triangles : the number of circles.


How do you find the ratio between two circles when the diameters are given?

If you mean ratio then I don't quite understand the question.. but if you mean RADIUS Then you take the diameter and divide it by two. ============================================== There's no such thing as the ratio of circles. You can find the ratio of their diameters, the ratio of their radiussesses, and the ratio of their areas. -- The ratio of their diameters is: One diameter divided by the other one. -- The ratio of their radiusses is the same number as the ratio of their diameters. -- The ratio of their areas is the square of that same number.


Why is pi used to measure circles?

Pi is the ratio of the circumference ( the perimeter) of a circle to its diameter. You might have learned in school that if C is the circumference of the circle., then C=2Pir or C=pixd from which we say pi = C/d or the ratio of the circumference of the circle to its diameter. This has been known since ancient times! William Jones gave us the symbol we currently use for it. This comes from the 16th letter in the Greek alphabet. So we use it to measure circles because of what it is.


How do you create three different drawings showing a number of circles and triangles in which the ratio of circles to triangles is 2 to 3?

To create three different drawings showing a number of circles and triangles in which the ratio is 2:3 you can: Start with an equilateral triangle, draw a circle inside it, draw an equilateral triangle inside the circle, draw a circle in the triangle and then draw an equilateral tiangle in the smallest circle. Or, you could draw 3 triangles and 2 circles in a line. Or, you could draw 3 triangles on a line with 2 circles between them.


Pi is the ratio of a circles circumfrance to its what?

diameter ------------- Diameter. The R (radius) of a circle multiplied by two equals the diameter.

People also asked

What is the ratio of 4 circles?

View results