Math Problem

Shi-Anne's cottage is on the shores of Circle Lake. Shi-Anne's cottage and Sonja's cottage are on opposite sides of this circular lake. It is a 2.5-km walk along the shoreline between the cottages.

a) How far must Shi-Anne swim across the lake to get to Sonja's?

b) In one hour, Shi-Anne can swim 1.5 km and walk 3 km. Which way is faster?

So 2.5 km is 1/2 the distance around the lake

lake=circle

therefor

2.5=1/2circumference

we must find the circumference to find radius then diameter to find the distnace from one side to the other

2.5=1/2 circumference

multipiliy by 2

5=circumferneece

circumference=2pir or pid

r=radius=distance from middle of circle to outer edge

d=diameter=2 times rasius, or lonest line drawn in circle (we want to find this to see how far it is from one end of the circle to ther other)

5=circumference=pid

5=pid

divide both sides by pi

5/pi=d

aprox pi to 3.14 for the problem

5/3.14=d=1.59 rounded

so

A. 1.59 km

B. 1.5 km per hour swim and 3km per hour walking

we see that 1.59 is greater than 1.5 so it wil take more than 1 hour to swim

we see that 2.5 is smaller than 3 so it will take less than 1 hour to walk

it is faster to walk

A. 1.59 km

B. walking