pi

/paɪ/ (bre, ipa) · [pˈaɪ] /paɪ/ (ame, ipa) · [pˈaɪ] /ˈpī/ (ame, mw)

pi — noun

  • pisingular
  • pisplural

1. the fixed number, about 3.14, produced by dividing a circle's outer edge length

1.名詞B1
釋義

the fixed number, about 3.14, produced by dividing a circle's outer edge length by the straight line through its centre; it is basic in circle calculations.

例句

Ms. Lin wrote pi beside 3.14 on the whiteboard.

pi is about 3.14

Using pi, Aaron found the pond's area for the garden plan.

use pi to calculate area

同義詞

文法句型

value of pi

use pi to calculate + circle measurement

pi is about 3.14

用法筆記

Often written with the Greek symbol π or with the Roman spelling pi in English text. Distinguish from sense 2: here the word names the number, not the alphabet letter itself.

常見錯誤

Pi equals 3.14 exactly.
Pi is about 3.14.
💡3.14 is only a short rounding of the full number.
The answer is pie.
The answer is pi.
💡'pi' is the mathematical term; 'pie' is food.

2. the name or symbol for the sixteenth character in the Greek alphabet.

2.名詞B2
釋義

the name or symbol for the sixteenth character in the Greek alphabet.

例句

In class, Dr. Hsu asked everyone to copy pi and sigma.

write/copy pi

The old book marks each chapter with a large red pi.

同義詞
  • Greek character

    broad term for any symbol in the Greek alphabet, not only pi

  • symbol

    much wider in meaning and only works when the context already makes pi clear

文法句型

the letter pi

write/copy pi

pi comes after omicron

用法筆記

Usually appears when people are naming or writing Greek symbols. Distinguish from sense 1, where pi names the mathematical value built from this letter.

常見錯誤

Pi comes before omicron.
Pi comes after omicron.
💡In the Greek alphabet, omicron comes first.

3. a short way of writing private investigator, a detective hired by private people

3.名詞B2
釋義

a short way of writing private investigator, a detective hired by private people or companies rather than by the police.

例句

The worried husband hired a PI to follow the missing driver.

hire a PI

By noon, the PI had already checked three hotels near the station.

同義詞

文法句型

hire a PI

the PI + past verb

PI report

用法筆記

Usually written as PI in capitals in stories, ads, and receipts. Distinguish from sense 4: this meaning is about detective work, not academic research.

常見錯誤

The PI arrested the suspect.
The PI photographed the suspect and sent the report to police.
💡A PI is a private detective, not a police officer with arrest powers.

4. a short way of writing principal investigator, the main researcher who is in cha

4.名詞C1
釋義

a short way of writing principal investigator, the main researcher who is in charge of a science or engineering project.

例句

Dr. Chen signed the grant form as the study's PI.

the PI of a study

Before hiring students, the PI checked the lab budget twice.

同義詞

文法句型

the PI of a study

name somebody the PI

our PI said + clause

用法筆記

Usually written as PI in capitals on grant forms, lab documents, and project emails. Distinguish from sense 3: this PI runs research rather than investigations for clients.

常見錯誤

The PI followed the suspect all night.
The PI approved the student interviews and lab budget.
💡In research, this abbreviation means the project leader, not a detective.

5. a short way of writing profitability index, a finance number used to judge how s

5.名詞C1
釋義

a short way of writing profitability index, a finance number used to judge how strongly a project is expected to earn money.

例句

The report says the solar plan has a PI above one.

PI above one

When costs rose, the PI fell below the bank's target.

PI below one

同義詞

文法句型

PI above one

PI below one

calculate PI for a project

用法筆記

Common in finance reports beside numbers such as 1.1 or 0.9. A value above 1 usually suggests the project is worth more than it costs.

常見錯誤

The project's PI was 80 percent.
The project's PI was 1.08.
💡This index is usually shown as a number around 1, not as a percentage.

6. a short way of writing professional indemnity, business insurance that helps pay

6.名詞C1
釋義

a short way of writing professional indemnity, business insurance that helps pay when a client says professional work caused a loss or problem.

例句

The architect renewed her PI before signing the hotel contract.

renew PI

Without PI, the small design firm could not bid today.

同義詞

文法句型

buy PI

renew PI

PI insurance

用法筆記

Usually written as PI or PI insurance in business documents. Object is normally a policy bought by people who give paid professional advice or design work.

常見錯誤

The firm bought PI for a broken office window.
The firm bought PI to cover client claims about design mistakes.
💡PI protects against professional-service claims, not ordinary property damage.

7. a short way of writing personal injury, harm to a person's body or mind, especia

7.名詞C1
釋義

a short way of writing personal injury, harm to a person's body or mind, especially in a legal case against someone else.

例句

The lawyer moved Nina's PI case to the county court.

PI case

On the claim form, PI covers both pain and lost wages.

PI claim

同義詞
  • personal injury

    the full legal term; PI is the common short form in files and ads

  • bodily harm

    focuses more on physical damage and less on the legal case

  • injury claim

    names the request for compensation rather than the harm itself

文法句型

PI case

PI claim

PI file

用法筆記

Often appears before words like case, claim, file, or lawyer in legal English. Distinguish from sense 6: this PI is the injury itself or the related legal matter, not the insurance policy.

常見錯誤

Her PI paid the hospital bill.
Her PI claim asked the insurer to pay the hospital bill.
💡In this sense, PI is the injury matter or case, not the insurance policy.