Learning Task 3:1.a circular pool has a redius of 32cm.find its area?2.what is t...

Questions

October 2021 1 3 Report

Learning Task 3:
1.a circular pool has a redius of 32cm.find its area?
2.what is the area of the circle if the diameter is 48m
3.the wheel of the car had a redius of 0.35m,what is the area?
4.find the area of a circle with a diameter of 35.2cm.
5.a circle has a circumference of 100m.find the area

Learning Task 4:
1.a circular fountian with a 5m redius lies along the center of a circular park with a 70m radius.calculate the total walking area available to pedestrians visiting the park
2.a circular pond has a redius of 4.5m.how much material will be needed if you plan to put a fence around it?what is the area of the pond
3.the diameter of drum is 150cm.what is the area of the speace where drum stands?
4.rechel is making a circular tablecloth with a redius of 48dm.how many meters of materials will she need
5.a circular clock with a circumference of 75cm is attached on a wall.how much of the area of the wall did it occupy.

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Answers & Comments

MishSelenia

AREA

Formula: $\tt{{A\:=\:πr²}}$ or $\tt{{A\:=\:}}$ $\large{\tt{ \frac{d}{2}}}$ $\tt{{πr²}}$

$\huge{\overline{\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}$

$\large\tt\bold{{Problem:}}$ 1.) A circular pool has a redius of 32cm. Find its area?

$\large\tt\bold{{Solution:}}$

$\tt{{A\:=\:3.14\:(\:32\:cm\:)²}}$
$\tt{{A\:=\:3.14\:(\:1,024\:cm²\:)}}$
$\tt{{A\:=\:}}$ $\tt\green{{3,184.64\:cm²}}$

Therefore, the area of a circular pool is 3,184.64 cm².

$\large\tt\bold{{Problem:}}$ 2.) What is the area of the circle if the diameter is 48m?

$\large\tt\bold{{Solution:}}$

$\tt{{A\:=\:}}$ $\large{\tt{ \frac{48\:m}{2}}}$ $\tt{{\:=\:24\:m}}$
$\tt{{A\:=\:3.14\:(\:24\:m\:)}}$
$\tt{{A\:=\:}}$ $\tt\green{{75.36\:m²}}$

Therefore, the area of a circle is 75.36 m².

$\large\tt\bold{{Problem:}}$ 3.) The wheel of the car had a radius of 0.35m, what is the area?

$\large\tt\bold{{Solution:}}$

$\tt{{A\:=\:3.14\:(\:0.35\:m\:)²}}$
$\tt{{A\:=\:3.14\:(\:0.123\:m²\:)}}$
$\tt{{A\:=\:}}$ $\tt\green{{0.386\:m²}}$

Therefore, the area of a wheel of the car is 0.386 m².

$\large\tt\bold{{Problem:}}$ 4.) Find the area of a circle with a diameter of 35.2 cm.

$\large\tt\bold{{Solution:}}$

$\tt{{A\:=\:}}$ $\large{\tt{ \frac{35.2\:cm}{2}}}$ $\tt{{\:=\:17.6\:cm}}$
$\tt{{A\:=\:3.14\:(\:17.6\:cm\:)²}}$
$\tt{{A\:=\:3.14\:(\:309.76\:cm²\:)}}$
$\tt{{A\:=\:}}$ $\tt\green{{972.646\:cm²}}$

Therefore, the area of a circle is 972.646 cm²

$\large\tt\bold{{Problem:}}$ 5.) A circle has a circumference of 100m. Find the area.

$\large\tt\bold{{Solution:}}$

$\tt{{A\:=\:}}$ $\large{\tt{ \frac{100\:m}{3.14}}}$ $\tt{{\:=\:31.84\:m}}$
$\tt{{A\:=\:}}$ $\large{\tt{ \frac{31.84\:m}{2}}}$ $\tt{{\:=\:15.92\:m}}$

$\tt{{A\:=\:3.14\:(\:15.92\:m\:)²}}$
$\tt{{A\:=\:3.14\:(\:253.446\:m²\:)}}$
$\tt{{A\:=\:}}$ $\tt\green{{795.822\:m²}}$

Therefore, the area of a circle is 795.822 m².

$\large\tt\bold{{Problem:}}$ 1.) A circular fountain with a 5-m radius lies along the center of a circular park with a 70-m radius. Calculate the total walking area available to pedestrians visiting the park.

$\large\tt\bold{{Solution:}}$

$\mathbb\green{{CIRCULAR\:PARK}}$

$\tt{{A\:=\:3.14\:(\:70\:m\:)²}}$
$\tt{{A\:=\:3.14\:(\:4,900\:m²\:)}}$
$\tt{{A\:=\:}}$ $\tt\green{{15,386\:m²}}$

$\mathbb\green{{CIRCULAR\:FOUNTAIN}}$

$\tt{{A\:=\:3.14\:(\:5\:m\:)²}}$
$\tt{{A\:=\:3.14\:(\:25\:m²\:)}}$
$\tt{{A\:=\:}}$ $\tt\green{{78.5\:m²}}$

$\tt{{A\:=\:15,386\:-\:78.5\:=\:}}$ $\tt\green{{15,307.5\:m²}}$

Therefore, the area of a circular park is 15,307.5 m².

$\large\tt\bold{{Problem:}}$ 2.) A circular pond has a radius of 4.5 m. How much materials will be needed if you plan to put a fence around it? What is the area of the pond?

$\large\tt\bold{{Solution:}}$