The area of a circle is 320 square meters. Find the radius of the circle. Then find the circumference. Round your answers to the nearest tenth.

10.1 m =r

C = 63.4 m

Step-by-step explanation:

We know the area of a circle is given by

A = pi r^2  where pi can be approximated by 3.14 and r is the radius

320 = 3.14 r^2

Divide each side by 3.14

320/3.14 = 3.14 r^2/3.14

101.910828 = r^2

Take the square root of each side

sqrt(101.910828) =sqrt( r^2)

10.0950893 = r

To the nearest tenth 10.1 =r

Now we want the circumference

C = 2*pi*r

C =2 *3.14 *10.1

C =63.428

To the nearest tenth

C = 63.4

Radius = 10.1 m

Circumference = 63.4 m

Step-by-step explanation:

Area = 3.14 × r²

320 = 3.14 × r²

r² = 101.9108280255

r = 10.0950893025

Circumference = 2 × 3.14 × r

= 2 × 3.14 × 10.0950893025

= 63.3971608197

attachment?

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.